Least Common Multiple of 30, 684, 100

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 30, 684, 100 i.e. 17100 smallest integer divisible by all numbers.

Least common multiple (LCM) of 30, 684, 100 is 17100.

LCM(30, 684, 100) = 17100

LCM of 30, 684, 100

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

LCM of:

Least Common Multiple of 30,684,100

Least Common Multiple (LCM) of 30,684,100 is 17100

2 30, 684, 100
2 15, 342, 50
3 15, 171, 25
5 5, 57, 25
1, 57, 5

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 57 x 5 = 17100

Least Common Multiple of 30,684,100 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 30,684,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,684,100) = 2

common factors(in case of two or more numbers have common factors) = 60

GCF(30,684,100) x common factors =2 x 60 = 120

LCM(30,684,100) = ( 30 × 684 × 100 ) / 120

LCM(30,684,100) = 2052000 / 120

LCM(30,684,100) = 17100

∴ Least Common Multiple of 30,684,100 is 17100

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 30, 684, 100

1. What is the LCM of 30, 684, 100?

Answer: LCM of 30, 684, 100 is 17100.

2. What are the Factors of 17100?

Answer: Factors of 17100 are . There are integers that are factors of 17100

3. How to Find the LCM of 30, 684, 100 ?

Least Common Multiple of 30, 684, 100.

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(30, 684, 100) = 2 x 2 x 3 x 3 x 5 x 5 x 19 = 17100.