Least Common Multiple of 140, 2304

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 140, 2304 i.e. 80640 smallest integer divisible by all numbers.

Least common multiple (LCM) of 140, 2304 is 80640.

LCM(140, 2304) = 80640

LCM of 140, 2304

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

LCM of:

Least Common Multiple of 140,2304

Least Common Multiple (LCM) of 140,2304 is 80640

2 140, 2304
2 70, 1152
35, 576

∴ So the LCM of the given numbers is 2 x 2 x 35 x 576 = 80640

Least Common Multiple of 140,2304 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 140,2304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(140,2304) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(140,2304) x common factors =4 x 1 = 4

LCM(140,2304) = ( 140 × 2304 ) / 4

LCM(140,2304) = 322560 / 4

LCM(140,2304) = 80640

∴ Least Common Multiple of 140,2304 is 80640

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 140, 2304

1. What is the LCM of 140, 2304?

Answer: LCM of 140, 2304 is 80640.

2. What are the Factors of 80640?

Answer: Factors of 80640 are . There are integers that are factors of 80640

3. How to Find the LCM of 140, 2304 ?

Least Common Multiple of 140, 2304.

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(140, 2304) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 = 80640.