Least Common Multiple of 128, 144, 588

Q: How to Find the LCM of 128, 144, 588 ?

Least Common Multiple of 128, 144, 588 = 56448 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(128, 144, 588) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7 = 56448.

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 128, 144, 588 i.e. 56448 smallest integer divisible by all numbers.

Least common multiple (LCM) of 128, 144, 588 is 56448.

LCM(128, 144, 588) = 56448

LCM of 128, 144, 588

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

Least Common Multiple of 128, 144, 588 by common division method
Least Common Multiple of 128, 144, 588 with GCF Formula

Least Common Multiple of 128,144,588

Least Common Multiple (LCM) of 128,144,588 is 56448

2	128, 144, 588
2	64, 72, 294
2	32, 36, 147
2	16, 18, 147
3	8, 9, 147
	8, 3, 49

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 8 x 3 x 49 = 56448

Least Common Multiple of 128,144,588 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 128,144,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(128,144,588) = 4

common factors(in case of two or more numbers have common factors) = 48

GCF(128,144,588) x common factors =4 x 48 = 192

LCM(128,144,588) = ( 128 × 144 × 588 ) / 192

LCM(128,144,588) = 10838016 / 192

LCM(128,144,588) = 56448

∴ Least Common Multiple of 128,144,588 is 56448

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 128, 144, 588

1. What is the LCM of 128, 144, 588?

Answer: LCM of 128, 144, 588 is 56448.

2. What are the Factors of 56448?

Answer: Factors of 56448 are . There are integers that are factors of 56448

3. How to Find the LCM of 128, 144, 588 ?

Least Common Multiple of 128, 144, 588.

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(128, 144, 588) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7 = 56448.