LCM that 4 and 7 is the the smallest number amongst all common multiples that 4 and also 7. The first couple of multiples that 4 and 7 room (4, 8, 12, 16, 20, . . . ) and also (7, 14, 21, 28, 35, . . . ) respectively. There room 3 generally used methods 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 also 7 2 List the Methods 3 Solved Examples 4 FAQs

Answer: LCM of 4 and also 7 is 28. Explanation:

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

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

By prime Factorization MethodBy Listing MultiplesBy department Method

### LCM of 4 and also 7 by prime 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 acquired by multiplying prime determinants raised to your respective highest possible power, i.e. 22 × 71 = 28.Hence, the LCM that 4 and also 7 by prime factorization is 28.

### LCM of 4 and also 7 by Listing Multiples To calculate the LCM that 4 and also 7 by listing out the usual multiples, we can follow the given below steps:

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

∴ The least typical multiple of 4 and also 7 = 28.

### LCM of 4 and 7 by division Method To calculate the LCM of 4 and also 7 by the department method, we will certainly divide the numbers(4, 7) by your prime factors (preferably common). The product of these divisors provides the LCM the 4 and 7.

Step 3: proceed the procedures until just 1s room left in the last row.

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The LCM of 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.