Least Common Multiple of 64, 40, 75, 942

Q: How to Find the LCM of 64, 40, 75, 942 ?

Least Common Multiple of 64, 40, 75, 942 = 753600 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(64, 40, 75, 942) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 157 = 753600.

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 64, 40, 75, 942 i.e. 753600 smallest integer divisible by all numbers.

Least common multiple (LCM) of 64, 40, 75, 942 is 753600.

LCM(64, 40, 75, 942) = 753600

LCM of 64, 40, 75, 942

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

Least Common Multiple of 64, 40, 75, 942 by common division method
Least Common Multiple of 64, 40, 75, 942 with GCF Formula

Least Common Multiple of 64,40,75,942

Least Common Multiple (LCM) of 64,40,75,942 is 753600

2	64, 40, 75, 942
2	32, 20, 75, 471
2	16, 10, 75, 471
3	8, 5, 75, 471
5	8, 5, 25, 157
	8, 1, 5, 157

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 8 x 1 x 5 x 157 = 753600

Least Common Multiple of 64,40,75,942 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 64,40,75,942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,40,75,942) = 1

common factors(in case of two or more numbers have common factors) = 240

GCF(64,40,75,942) x common factors =1 x 240 = 240

LCM(64,40,75,942) = ( 64 × 40 × 75 × 942 ) / 240

LCM(64,40,75,942) = 180864000 / 240

LCM(64,40,75,942) = 753600

∴ Least Common Multiple of 64,40,75,942 is 753600

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 64, 40, 75, 942

1. What is the LCM of 64, 40, 75, 942?

Answer: LCM of 64, 40, 75, 942 is 753600.

2. What are the Factors of 753600?

Answer: Factors of 753600 are . There are integers that are factors of 753600

3. How to Find the LCM of 64, 40, 75, 942 ?

Least Common Multiple of 64, 40, 75, 942.

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(64, 40, 75, 942) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 157 = 753600.