Least Common Multiple of 1686, 5712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 1686, 5712 i.e. 1605072 smallest integer divisible by all numbers.

Least common multiple (LCM) of 1686, 5712 is 1605072.

LCM(1686, 5712) = 1605072

LCM of 1686, 5712

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 1686,5712

Least Common Multiple (LCM) of 1686,5712 is 1605072

2 1686, 5712
3 843, 2856
281, 952

∴ So the LCM of the given numbers is 2 x 3 x 281 x 952 = 1605072

Least Common Multiple of 1686,5712 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 1686,5712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1686,5712) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(1686,5712) x common factors =6 x 1 = 6

LCM(1686,5712) = ( 1686 × 5712 ) / 6

LCM(1686,5712) = 9630432 / 6

LCM(1686,5712) = 1605072

∴ Least Common Multiple of 1686,5712 is 1605072

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 1686, 5712

1. What is the LCM of 1686, 5712?

Answer: LCM of 1686, 5712 is 1605072.

2. What are the Factors of 1605072?

Answer: Factors of 1605072 are . There are integers that are factors of 1605072

3. How to Find the LCM of 1686, 5712 ?

Least Common Multiple of 1686, 5712.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(1686, 5712) = 2 x 2 x 2 x 2 x 3 x 7 x 17 x 281 = 1605072.