Least Common Multiple of 65, 40, 40, 960

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 65, 40, 40, 960 i.e. 12480 smallest integer divisible by all numbers.

Least common multiple (LCM) of 65, 40, 40, 960 is 12480.

LCM(65, 40, 40, 960) = 12480

LCM of 65, 40, 40, 960

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

LCM of:

Least Common Multiple of 65,40,40,960

Least Common Multiple (LCM) of 65,40,40,960 is 12480

2 65, 40, 40, 960
2 65, 20, 20, 480
2 65, 10, 10, 240
5 65, 5, 5, 120
13, 1, 1, 24

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 13 x 1 x 1 x 24 = 12480

Least Common Multiple of 65,40,40,960 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 65,40,40,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,40,40,960) = 5

common factors(in case of two or more numbers have common factors) = 1600

GCF(65,40,40,960) x common factors =5 x 1600 = 8000

LCM(65,40,40,960) = ( 65 × 40 × 40 × 960 ) / 8000

LCM(65,40,40,960) = 99840000 / 8000

LCM(65,40,40,960) = 12480

∴ Least Common Multiple of 65,40,40,960 is 12480

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 65, 40, 40, 960

1. What is the LCM of 65, 40, 40, 960?

Answer: LCM of 65, 40, 40, 960 is 12480.

2. What are the Factors of 12480?

Answer: Factors of 12480 are . There are integers that are factors of 12480

3. How to Find the LCM of 65, 40, 40, 960 ?

Least Common Multiple of 65, 40, 40, 960.

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(65, 40, 40, 960) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 13 = 12480.