Least Common Multiple of 40, 65, 75, 612

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, 65, 75, 612 i.e. 397800 smallest integer divisible by all numbers.

Least common multiple (LCM) of 40, 65, 75, 612 is 397800.

LCM(40, 65, 75, 612) = 397800

LCM of 40, 65, 75, 612

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

LCM of:

Least Common Multiple of 40,65,75,612

Least Common Multiple (LCM) of 40,65,75,612 is 397800

2 40, 65, 75, 612
2 20, 65, 75, 306
3 10, 65, 75, 153
5 10, 65, 25, 51
2, 13, 5, 51

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 2 x 13 x 5 x 51 = 397800

Least Common Multiple of 40,65,75,612 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 40,65,75,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,65,75,612) = 1

common factors(in case of two or more numbers have common factors) = 300

GCF(40,65,75,612) x common factors =1 x 300 = 300

LCM(40,65,75,612) = ( 40 × 65 × 75 × 612 ) / 300

LCM(40,65,75,612) = 119340000 / 300

LCM(40,65,75,612) = 397800

∴ Least Common Multiple of 40,65,75,612 is 397800

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 40, 65, 75, 612

1. What is the LCM of 40, 65, 75, 612?

Answer: LCM of 40, 65, 75, 612 is 397800.

2. What are the Factors of 397800?

Answer: Factors of 397800 are . There are integers that are factors of 397800

3. How to Find the LCM of 40, 65, 75, 612 ?

Least Common Multiple of 40, 65, 75, 612.

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, 65, 75, 612) = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 13 x 17 = 397800.