LCM that 4 and also 7 is the the smallest number amongst all typical multiples the 4 and 7. The first couple of multiples the 4 and 7 are (4, 8, 12, 16, 20, . . . ) and (7, 14, 21, 28, 35, . . . ) respectively. There space 3 frequently used approaches to find LCM the 4 and also 7 - by division method, by listing multiples, and also by prime factorization.

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 1 LCM the 4 and 7 2 List of Methods 3 Solved Examples 4 FAQs

Answer: LCM of 4 and 7 is 28.

Explanation:

The LCM of two non-zero integers, x(4) and y(7), is the smallest hopeful integer m(28) that is divisible by both x(4) and also y(7) without any kind of remainder.

Let's look at the various methods because that finding the LCM that 4 and also 7.

By prime Factorization MethodBy Listing MultiplesBy department Method

### LCM of 4 and also 7 by element Factorization

Prime administrate of 4 and 7 is (2 × 2) = 22 and also (7) = 71 respectively. LCM that 4 and also 7 deserve to be obtained by multiplying prime factors raised to their respective greatest power, i.e. 22 × 71 = 28.Hence, the LCM of 4 and 7 by element factorization is 28.

### LCM the 4 and 7 by Listing Multiples

To calculation the LCM of 4 and 7 by listing out the usual multiples, we can follow the given listed below steps:

Step 1: list a few multiples that 4 (4, 8, 12, 16, 20, . . . ) and also 7 (7, 14, 21, 28, 35, . . . . )Step 2: The usual multiples from the multiples that 4 and 7 space 28, 56, . . .Step 3: The smallest common multiple that 4 and 7 is 28.

∴ The least common multiple of 4 and 7 = 28.

### LCM of 4 and also 7 by department Method

To calculation the LCM that 4 and 7 by the division method, we will divide the numbers(4, 7) by your prime factors (preferably common). The product of these divisors gives the LCM that 4 and 7.

Step 3: proceed the measures until only 1s room left in the critical row.

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The LCM the 4 and 7 is the product of all prime numbers on the left, i.e. LCM(4, 7) by department method = 2 × 2 × 7 = 28.