Least Common Multiple of 40, 70, 96, 185

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 40, 70, 96, 185 i.e. 124320 smallest integer divisible by all numbers.

Least common multiple (LCM) of 40, 70, 96, 185 is 124320.

LCM(40, 70, 96, 185) = 124320

LCM of 40, 70, 96, 185

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

LCM of:

Least Common Multiple of 40,70,96,185

Least Common Multiple (LCM) of 40,70,96,185 is 124320

2 40, 70, 96, 185
2 20, 35, 48, 185
2 10, 35, 24, 185
5 5, 35, 12, 185
1, 7, 12, 37

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 1 x 7 x 12 x 37 = 124320

Least Common Multiple of 40,70,96,185 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 40,70,96,185 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,70,96,185) = 1

common factors(in case of two or more numbers have common factors) = 400

GCF(40,70,96,185) x common factors =1 x 400 = 400

LCM(40,70,96,185) = ( 40 × 70 × 96 × 185 ) / 400

LCM(40,70,96,185) = 49728000 / 400

LCM(40,70,96,185) = 124320

∴ Least Common Multiple of 40,70,96,185 is 124320

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 40, 70, 96, 185

1. What is the LCM of 40, 70, 96, 185?

Answer: LCM of 40, 70, 96, 185 is 124320.

2. What are the Factors of 124320?

Answer: Factors of 124320 are . There are integers that are factors of 124320

3. How to Find the LCM of 40, 70, 96, 185 ?

Least Common Multiple of 40, 70, 96, 185.

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(40, 70, 96, 185) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 37 = 124320.