Least Common Multiple of 100, 676, 676

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 100, 676, 676 i.e. 16900 smallest integer divisible by all numbers.

Least common multiple (LCM) of 100, 676, 676 is 16900.

LCM(100, 676, 676) = 16900

LCM of 100, 676, 676

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

LCM of:

Least Common Multiple of 100,676,676

Least Common Multiple (LCM) of 100,676,676 is 16900

2 100, 676, 676
2 50, 338, 338
13 25, 169, 169
13 25, 13, 13
25, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 13 x 13 x 25 x 1 x 1 = 16900

Least Common Multiple of 100,676,676 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 100,676,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(100,676,676) = 4

common factors(in case of two or more numbers have common factors) = 676

GCF(100,676,676) x common factors =4 x 676 = 2704

LCM(100,676,676) = ( 100 × 676 × 676 ) / 2704

LCM(100,676,676) = 45697600 / 2704

LCM(100,676,676) = 16900

∴ Least Common Multiple of 100,676,676 is 16900

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 100, 676, 676

1. What is the LCM of 100, 676, 676?

Answer: LCM of 100, 676, 676 is 16900.

2. What are the Factors of 16900?

Answer: Factors of 16900 are . There are integers that are factors of 16900

3. How to Find the LCM of 100, 676, 676 ?

Least Common Multiple of 100, 676, 676.

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(100, 676, 676) = 2 x 2 x 5 x 5 x 13 x 13 = 16900.