Least Common Multiple of 77, 96, 29, 540

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 77, 96, 29, 540 i.e. 9646560 smallest integer divisible by all numbers.

Least common multiple (LCM) of 77, 96, 29, 540 is 9646560.

LCM(77, 96, 29, 540) = 9646560

LCM of 77, 96, 29, 540

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

LCM of:

Least Common Multiple of 77,96,29,540

Least Common Multiple (LCM) of 77,96,29,540 is 9646560

2 77, 96, 29, 540
2 77, 48, 29, 270
3 77, 24, 29, 135
77, 8, 29, 45

∴ So the LCM of the given numbers is 2 x 2 x 3 x 77 x 8 x 29 x 45 = 9646560

Least Common Multiple of 77,96,29,540 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 77,96,29,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,96,29,540) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(77,96,29,540) x common factors =1 x 12 = 12

LCM(77,96,29,540) = ( 77 × 96 × 29 × 540 ) / 12

LCM(77,96,29,540) = 115758720 / 12

LCM(77,96,29,540) = 9646560

∴ Least Common Multiple of 77,96,29,540 is 9646560

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 77, 96, 29, 540

1. What is the LCM of 77, 96, 29, 540?

Answer: LCM of 77, 96, 29, 540 is 9646560.

2. What are the Factors of 9646560?

Answer: Factors of 9646560 are . There are integers that are factors of 9646560

3. How to Find the LCM of 77, 96, 29, 540 ?

Least Common Multiple of 77, 96, 29, 540.

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(77, 96, 29, 540) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 11 x 29 = 9646560.