Least Common Multiple of 102, 1692

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 102, 1692 i.e. 28764 smallest integer divisible by all numbers.

Least common multiple (LCM) of 102, 1692 is 28764.

LCM(102, 1692) = 28764

LCM of 102, 1692

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

LCM of:

Least Common Multiple of 102,1692

Least Common Multiple (LCM) of 102,1692 is 28764

2 102, 1692
3 51, 846
17, 282

∴ So the LCM of the given numbers is 2 x 3 x 17 x 282 = 28764

Least Common Multiple of 102,1692 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 102,1692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(102,1692) = 6

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

GCF(102,1692) x common factors =6 x 1 = 6

LCM(102,1692) = ( 102 × 1692 ) / 6

LCM(102,1692) = 172584 / 6

LCM(102,1692) = 28764

∴ Least Common Multiple of 102,1692 is 28764

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 102, 1692

1. What is the LCM of 102, 1692?

Answer: LCM of 102, 1692 is 28764.

2. What are the Factors of 28764?

Answer: Factors of 28764 are . There are integers that are factors of 28764

3. How to Find the LCM of 102, 1692 ?

Least Common Multiple of 102, 1692.

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(102, 1692) = 2 x 2 x 3 x 3 x 17 x 47 = 28764.