LCM of 10 and also 16 is the the smallest number amongst all usual multiples that 10 and 16. The first couple of multiples of 10 and also 16 room (10, 20, 30, 40, 50, . . . ) and also (16, 32, 48, 64, 80, 96, 112, . . . ) respectively. There space 3 frequently used methods to discover LCM the 10 and 16 - by department method, by element factorization, and by listing multiples.

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1.LCM the 10 and 16
2.List the Methods
3.Solved Examples
4.FAQs

Answer: LCM that 10 and 16 is 80.

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Explanation:

The LCM of 2 non-zero integers, x(10) and also y(16), is the smallest hopeful integer m(80) that is divisible by both x(10) and also y(16) without any kind of remainder.


Let's look in ~ the various methods because that finding the LCM of 10 and also 16.

By Listing MultiplesBy division MethodBy element Factorization Method

LCM of 10 and 16 by Listing Multiples

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To calculation the LCM the 10 and 16 through listing the end the usual multiples, we have the right to follow the given listed below steps:

Step 1: list a few multiples of 10 (10, 20, 30, 40, 50, . . . ) and also 16 (16, 32, 48, 64, 80, 96, 112, . . . . )Step 2: The typical multiples from the multiples that 10 and 16 are 80, 160, . . .Step 3: The smallest typical multiple that 10 and 16 is 80.

∴ The least usual multiple that 10 and 16 = 80.

LCM the 10 and also 16 by department Method

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To calculation the LCM the 10 and 16 by the division method, we will certainly divide the numbers(10, 16) by their prime determinants (preferably common). The product of these divisors provides the LCM the 10 and also 16.

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

The LCM of 10 and 16 is the product of all prime number on the left, i.e. LCM(10, 16) by department method = 2 × 2 × 2 × 2 × 5 = 80.

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LCM of 10 and also 16 by element Factorization

Prime administrate of 10 and also 16 is (2 × 5) = 21 × 51 and also (2 × 2 × 2 × 2) = 24 respectively. LCM the 10 and 16 deserve to be acquired by multiplying prime determinants raised to their respective highest power, i.e. 24 × 51 = 80.Hence, the LCM of 10 and also 16 by prime factorization is 80.