Least Common Multiple of 144, 284, 56

Q: How to Find the LCM of 144, 284, 56 ?

Least Common Multiple of 144, 284, 56 = 71568 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(144, 284, 56) = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 71 = 71568.

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 144, 284, 56 i.e. 71568 smallest integer divisible by all numbers.

Least common multiple (LCM) of 144, 284, 56 is 71568.

LCM(144, 284, 56) = 71568

LCM of 144, 284, 56

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

Least Common Multiple of 144, 284, 56 by common division method
Least Common Multiple of 144, 284, 56 with GCF Formula

Least Common Multiple of 144,284,56

Least Common Multiple (LCM) of 144,284,56 is 71568

2	144, 284, 56
2	72, 142, 28
2	36, 71, 14
	18, 71, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 18 x 71 x 7 = 71568

Least Common Multiple of 144,284,56 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 144,284,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,284,56) = 4

common factors(in case of two or more numbers have common factors) = 8

GCF(144,284,56) x common factors =4 x 8 = 32

LCM(144,284,56) = ( 144 × 284 × 56 ) / 32

LCM(144,284,56) = 2290176 / 32

LCM(144,284,56) = 71568

∴ Least Common Multiple of 144,284,56 is 71568

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 144, 284, 56

1. What is the LCM of 144, 284, 56?

Answer: LCM of 144, 284, 56 is 71568.

2. What are the Factors of 71568?

Answer: Factors of 71568 are . There are integers that are factors of 71568

3. How to Find the LCM of 144, 284, 56 ?

Least Common Multiple of 144, 284, 56.

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(144, 284, 56) = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 71 = 71568.