Least Common Multiple of 904, 144, 352

Q: How to Find the LCM of 904, 144, 352 ?

Least Common Multiple of 904, 144, 352 = 357984 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(904, 144, 352) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 11 x 113 = 357984.

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 904, 144, 352 i.e. 357984 smallest integer divisible by all numbers.

Least common multiple (LCM) of 904, 144, 352 is 357984.

LCM(904, 144, 352) = 357984

LCM of 904, 144, 352

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

Least Common Multiple of 904, 144, 352 by common division method
Least Common Multiple of 904, 144, 352 with GCF Formula

Least Common Multiple of 904,144,352

Least Common Multiple (LCM) of 904,144,352 is 357984

2	904, 144, 352
2	452, 72, 176
2	226, 36, 88
2	113, 18, 44
	113, 9, 22

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 113 x 9 x 22 = 357984

Least Common Multiple of 904,144,352 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 904,144,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(904,144,352) = 8

common factors(in case of two or more numbers have common factors) = 16

GCF(904,144,352) x common factors =8 x 16 = 128

LCM(904,144,352) = ( 904 × 144 × 352 ) / 128

LCM(904,144,352) = 45821952 / 128

LCM(904,144,352) = 357984

∴ Least Common Multiple of 904,144,352 is 357984

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 904, 144, 352

1. What is the LCM of 904, 144, 352?

Answer: LCM of 904, 144, 352 is 357984.

2. What are the Factors of 357984?

Answer: Factors of 357984 are . There are integers that are factors of 357984

3. How to Find the LCM of 904, 144, 352 ?

Least Common Multiple of 904, 144, 352.

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(904, 144, 352) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 11 x 113 = 357984.