Least Common Multiple of 472, 456, 408

Q: How to Find the LCM of 472, 456, 408 ?

Least Common Multiple of 472, 456, 408 = 457368 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(472, 456, 408) = 2 x 2 x 2 x 3 x 17 x 19 x 59 = 457368.

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 472, 456, 408 i.e. 457368 smallest integer divisible by all numbers.

Least common multiple (LCM) of 472, 456, 408 is 457368.

LCM(472, 456, 408) = 457368

LCM of 472, 456, 408

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

Least Common Multiple of 472, 456, 408 by common division method
Least Common Multiple of 472, 456, 408 with GCF Formula

Least Common Multiple of 472,456,408

Least Common Multiple (LCM) of 472,456,408 is 457368

2	472, 456, 408
2	236, 228, 204
2	118, 114, 102
3	59, 57, 51
	59, 19, 17

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 59 x 19 x 17 = 457368

Least Common Multiple of 472,456,408 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 472,456,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(472,456,408) = 8

common factors(in case of two or more numbers have common factors) = 24

GCF(472,456,408) x common factors =8 x 24 = 192

LCM(472,456,408) = ( 472 × 456 × 408 ) / 192

LCM(472,456,408) = 87814656 / 192

LCM(472,456,408) = 457368

∴ Least Common Multiple of 472,456,408 is 457368

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 472, 456, 408

1. What is the LCM of 472, 456, 408?

Answer: LCM of 472, 456, 408 is 457368.

2. What are the Factors of 457368?

Answer: Factors of 457368 are . There are integers that are factors of 457368

3. How to Find the LCM of 472, 456, 408 ?

Least Common Multiple of 472, 456, 408.

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(472, 456, 408) = 2 x 2 x 2 x 3 x 17 x 19 x 59 = 457368.