Least Common Multiple of 120, 684, 867, 152, 568

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 120, 684, 867, 152, 568 i.e. 140349960 smallest integer divisible by all numbers.

Least common multiple (LCM) of 120, 684, 867, 152, 568 is 140349960.

LCM(120, 684, 867, 152, 568) = 140349960

LCM of 120, 684, 867, 152, 568

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

LCM of:

Least Common Multiple of 120,684,867,152,568

Least Common Multiple (LCM) of 120,684,867,152,568 is 140349960

2 120, 684, 867, 152, 568
2 60, 342, 867, 76, 284
2 30, 171, 867, 38, 142
3 15, 171, 867, 19, 71
19 5, 57, 289, 19, 71
5, 3, 289, 1, 71

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 19 x 5 x 3 x 289 x 1 x 71 = 140349960

Least Common Multiple of 120,684,867,152,568 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 120,684,867,152,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(120,684,867,152,568) = 1

common factors(in case of two or more numbers have common factors) = 43776

GCF(120,684,867,152,568) x common factors =1 x 43776 = 43776

LCM(120,684,867,152,568) = ( 120 × 684 × 867 × 152 × 568 ) / 43776

LCM(120,684,867,152,568) = 6143959848960 / 43776

LCM(120,684,867,152,568) = 140349960

∴ Least Common Multiple of 120,684,867,152,568 is 140349960

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 120, 684, 867, 152, 568

1. What is the LCM of 120, 684, 867, 152, 568?

Answer: LCM of 120, 684, 867, 152, 568 is 140349960.

2. What are the Factors of 140349960?

Answer: Factors of 140349960 are . There are integers that are factors of 140349960

3. How to Find the LCM of 120, 684, 867, 152, 568 ?

Least Common Multiple of 120, 684, 867, 152, 568.

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(120, 684, 867, 152, 568) = 2 x 2 x 2 x 3 x 3 x 5 x 17 x 17 x 19 x 71 = 140349960.