Least Common Multiple of 40, 51, 60, 754

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, 51, 60, 754 i.e. 769080 smallest integer divisible by all numbers.

Least common multiple (LCM) of 40, 51, 60, 754 is 769080.

LCM(40, 51, 60, 754) = 769080

LCM of 40, 51, 60, 754

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

LCM of:

Least Common Multiple of 40,51,60,754

Least Common Multiple (LCM) of 40,51,60,754 is 769080

2 40, 51, 60, 754
2 20, 51, 30, 377
3 10, 51, 15, 377
5 10, 17, 5, 377
2, 17, 1, 377

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 2 x 17 x 1 x 377 = 769080

Least Common Multiple of 40,51,60,754 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 40,51,60,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,51,60,754) = 1

common factors(in case of two or more numbers have common factors) = 120

GCF(40,51,60,754) x common factors =1 x 120 = 120

LCM(40,51,60,754) = ( 40 × 51 × 60 × 754 ) / 120

LCM(40,51,60,754) = 92289600 / 120

LCM(40,51,60,754) = 769080

∴ Least Common Multiple of 40,51,60,754 is 769080

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 40, 51, 60, 754

1. What is the LCM of 40, 51, 60, 754?

Answer: LCM of 40, 51, 60, 754 is 769080.

2. What are the Factors of 769080?

Answer: Factors of 769080 are . There are integers that are factors of 769080

3. How to Find the LCM of 40, 51, 60, 754 ?

Least Common Multiple of 40, 51, 60, 754.

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, 51, 60, 754) = 2 x 2 x 2 x 3 x 5 x 13 x 17 x 29 = 769080.