Least Common Multiple of 120, 126, 385, 359

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, 126, 385, 359 i.e. 9951480 smallest integer divisible by all numbers.

Least common multiple (LCM) of 120, 126, 385, 359 is 9951480.

LCM(120, 126, 385, 359) = 9951480

LCM of 120, 126, 385, 359

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

LCM of:

Least Common Multiple of 120,126,385,359

Least Common Multiple (LCM) of 120,126,385,359 is 9951480

2 120, 126, 385, 359
3 60, 63, 385, 359
5 20, 21, 385, 359
7 4, 21, 77, 359
4, 3, 11, 359

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 4 x 3 x 11 x 359 = 9951480

Least Common Multiple of 120,126,385,359 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 120,126,385,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(120,126,385,359) = 1

common factors(in case of two or more numbers have common factors) = 210

GCF(120,126,385,359) x common factors =1 x 210 = 210

LCM(120,126,385,359) = ( 120 × 126 × 385 × 359 ) / 210

LCM(120,126,385,359) = 2089810800 / 210

LCM(120,126,385,359) = 9951480

∴ Least Common Multiple of 120,126,385,359 is 9951480

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 120, 126, 385, 359

1. What is the LCM of 120, 126, 385, 359?

Answer: LCM of 120, 126, 385, 359 is 9951480.

2. What are the Factors of 9951480?

Answer: Factors of 9951480 are . There are integers that are factors of 9951480

3. How to Find the LCM of 120, 126, 385, 359 ?

Least Common Multiple of 120, 126, 385, 359.

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, 126, 385, 359) = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 11 x 359 = 9951480.