Find the lowest common multiple of 24 36 and 40

LCM of 24 36 and 40 LCM of 24, 36 and 40 is 360. Students who want to obtain proficiency in finding the LCM and HCF of given numbers can rely on the article What is LCM of 24, 36 and 40? The answer to this question is 360. How to Find LCM of 24, 36 and 40? The LCM of 24, 36 and 40 can be determined by using the methods mentioned below: • Prime Factorisation • Division method • Listing the multiples LCM of 24, 36 and 40 Using Prime Factorisation Method By prime factorisation method, we can write 24, 36 and 40 as the product of prime numbers, such that; 24 = 2 × 2 × 2 × 3 36 = 2 × 2 × 3 × 3 40 = 2 × 2 × 2 × 5 LCM (24, 36, 40) = 2 × 2 × 2 × 3 × 3 × 5 = 360 LCM of 24, 36 and 40 Using Division Method In the division method, we divide the numbers 24, 36 and 40 by their prime factors until we get the result as one in the complete row to determine their LCM. The product of these divisors gives the least common multiple of 24, 36 and 40. 2 24 36 40 2 12 18 20 2 6 9 10 3 3 9 5 3 1 3 5 5 1 1 5 x 1 1 1 No more further division can be done. Hence, LCM (24, 36, 40) = 2 × 2 × 2 × 3 × 3 × 5 = 360 LCM of 24, 36, and 40 Using Listing the Multiples Here, we list out the multiples of 24, 36 and 40 to calculate the least common multiple of 24, 36 and 40 in a precise manner. The multiples of 24, 36 and 40 are as follows: Multiples of 24: 24, 48, 72, 96, 120, 144, 168, 192, 216, 240, ………., 312, 336, 360, ………… Multiples of 36: 36, 72, 108, 144, 180, 216, 252, 288,...

home / math / least common multiple calculator Least Common Multiple Calculator Please provide numbers separated by a comma "," and click the "Calculate" button to find the LCM. 330, 75, 450, 225 Related What is the Least Common Multiple (LCM)? In mathematics, the least common multiple, also known as the lowest common multiple of two (or more) integers a and b, is the smallest positive integer that is divisible by both. It is commonly denoted as LCM(a, b). Brute Force Method There are multiple ways to find a least common multiple. The most basic is simply using a "brute force" method that lists out each integer's multiples. EX: Find LCM(18, 26) 18: 18, 36, 54, 72, 90, 108, 126, 144, 162, 180, 198, 216, 234 26: 52, 78, 104, 130, 156, 182, 208, 234 As can be seen, this method can be fairly tedious, and is far from ideal. Prime Factorization Method A more systematic way to find the LCM of some given integers is to use prime factorization. Prime factorization involves breaking down each of the numbers being compared into its product of prime numbers. The LCM is then determined by multiplying the highest power of each prime number together. Note that computing the LCM this way, while more efficient than using the "brute force" method, is still limited to smaller numbers. Refer to the example below for clarification on how to use prime factorization to determine the LCM: EX: Find LCM(21, 14, 38) 21 = 3 × 7 14 = 2 × 7 38 = 2 × 19 The LCM is therefore: 3 × 7 × 2 × 19 = 798 Greates...

LCM of 36 and 40 LCM of 36 and 40 is the smallest number among all common multiples of 36 and 40. The first few multiples of 36 and 40 are (36, 72, 108, 144, . . . ) and (40, 80, 120, 160, . . . ) respectively. There are 3 commonly used methods to find LCM of 36 and 40 - by division method, by listing multiples, and by prime factorization. 1. 2. 3. 4. Methods to Find LCM of 36 and 40 The methods to find the LCM of 36 and 40 are explained below. • By Listing Multiples • By Division Method • By Prime Factorization Method LCM of 36 and 40 by Listing Multiples To calculate the LCM of 36 and 40 by listing out the common multiples, we can follow the given below steps: • Step 1: List a few multiples of 36 (36, 72, 108, 144, . . . ) and 40 (40, 80, 120, 160, . . . . ) • Step 2: The common multiples from the multiples of 36 and 40 are 360, 720, . . . • Step 3: The smallest common multiple of 36 and 40 is 360. ∴ The least common multiple of 36 and 40 = 360. LCM of 36 and 40 by Division Method To calculate the LCM of 36 and 40 by the • Step 1: Find the smallest prime number that is a factor of at least one of the numbers, 36 and 40. Write this • Step 2: If any of the given numbers (36, 40) is a multiple of 2, divide it by 2 and write the quotient below it. Bring down any • Step 3: Continue the steps until only 1s are left in the last row. The LCM of 36 and 40 is the product of all prime numbers on the left, i.e. LCM(36, 40) by division method = 2 × 2 × 2 × 3 × 3 × 5 = 360. LCM of 36 ...

Correct Answer - Option 1 : 360 Concept Used: Concept of LCM LCM (Lowest Common Multiple): LCM of x and y is the least common multiple of x and y which is perfectly divisible by both x and y For Example, 3 → Multiple of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, … 4 → Multiple of 4 are 4, 8, 12, 16, 20, 24, 28, 32, … Here common are 12 and 24. But of these 12 is lowest ∴ LCM of 3 and 4 is 12 Calculation: Factors of 24, 36 and 40 are: 24 = 2 × 2 × 2 × 3 36 = 2 × 2 × 3 × 3 40 = 2 × 2 × 2 × 5 ∴ LCM of 24, 36 and 40 = 2 × 2 × 3 × 3 × 2 × 5 = 360 LCM is the smallest common multiple of numbers.