Least Common Multiple of 768, 5972

Q: How to Find the LCM of 768, 5972 ?

Least Common Multiple of 768, 5972 = 1146624 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(768, 5972) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 1493 = 1146624.

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 768, 5972 i.e. 1146624 smallest integer divisible by all numbers.

Least common multiple (LCM) of 768, 5972 is 1146624.

LCM(768, 5972) = 1146624

LCM of 768, 5972

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

Least Common Multiple of 768, 5972 by common division method
Least Common Multiple of 768, 5972 with GCF Formula

Least Common Multiple of 768,5972

Least Common Multiple (LCM) of 768,5972 is 1146624

2	768, 5972
2	384, 2986
	192, 1493

∴ So the LCM of the given numbers is 2 x 2 x 192 x 1493 = 1146624

Least Common Multiple of 768,5972 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 768,5972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,5972) = 4

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

GCF(768,5972) x common factors =4 x 1 = 4

LCM(768,5972) = ( 768 × 5972 ) / 4

LCM(768,5972) = 4586496 / 4

LCM(768,5972) = 1146624

∴ Least Common Multiple of 768,5972 is 1146624

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 768, 5972

1. What is the LCM of 768, 5972?

Answer: LCM of 768, 5972 is 1146624.

2. What are the Factors of 1146624?

Answer: Factors of 1146624 are . There are integers that are factors of 1146624

3. How to Find the LCM of 768, 5972 ?

Least Common Multiple of 768, 5972.

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(768, 5972) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 1493 = 1146624.