Least Common Multiple of 684, 367, 368, 854, 120

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 684, 367, 368, 854, 120 i.e. 49306919760 smallest integer divisible by all numbers.

Least common multiple (LCM) of 684, 367, 368, 854, 120 is 49306919760.

LCM(684, 367, 368, 854, 120) = 49306919760

LCM of 684, 367, 368, 854, 120

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

LCM of:

Least Common Multiple of 684,367,368,854,120

Least Common Multiple (LCM) of 684,367,368,854,120 is 49306919760

2 684, 367, 368, 854, 120
2 342, 367, 184, 427, 60
2 171, 367, 92, 427, 30
3 171, 367, 46, 427, 15
57, 367, 46, 427, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 57 x 367 x 46 x 427 x 5 = 49306919760

Least Common Multiple of 684,367,368,854,120 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 684,367,368,854,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(684,367,368,854,120) = 1

common factors(in case of two or more numbers have common factors) = 192

GCF(684,367,368,854,120) x common factors =1 x 192 = 192

LCM(684,367,368,854,120) = ( 684 × 367 × 368 × 854 × 120 ) / 192

LCM(684,367,368,854,120) = 9466928593920 / 192

LCM(684,367,368,854,120) = 49306919760

∴ Least Common Multiple of 684,367,368,854,120 is 49306919760

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 684, 367, 368, 854, 120

1. What is the LCM of 684, 367, 368, 854, 120?

Answer: LCM of 684, 367, 368, 854, 120 is 49306919760.

2. What are the Factors of 49306919760?

Answer: Factors of 49306919760 are . There are integers that are factors of 49306919760

3. How to Find the LCM of 684, 367, 368, 854, 120 ?

Least Common Multiple of 684, 367, 368, 854, 120.

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(684, 367, 368, 854, 120) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 19 x 23 x 61 x 367 = 49306919760.