Least Common Multiple of 412, 748, 408

Q: How to Find the LCM of 412, 748, 408 ?

Least Common Multiple of 412, 748, 408 = 462264 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(412, 748, 408) = 2 x 2 x 2 x 3 x 11 x 17 x 103 = 462264.

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 412, 748, 408 i.e. 462264 smallest integer divisible by all numbers.

Least common multiple (LCM) of 412, 748, 408 is 462264.

LCM(412, 748, 408) = 462264

LCM of 412, 748, 408

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

Least Common Multiple of 412, 748, 408 by common division method
Least Common Multiple of 412, 748, 408 with GCF Formula

Least Common Multiple of 412,748,408

Least Common Multiple (LCM) of 412,748,408 is 462264

2	412, 748, 408
2	206, 374, 204
17	103, 187, 102
	103, 11, 6

∴ So the LCM of the given numbers is 2 x 2 x 17 x 103 x 11 x 6 = 462264

Least Common Multiple of 412,748,408 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 412,748,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(412,748,408) = 4

common factors(in case of two or more numbers have common factors) = 68

GCF(412,748,408) x common factors =4 x 68 = 272

LCM(412,748,408) = ( 412 × 748 × 408 ) / 272

LCM(412,748,408) = 125735808 / 272

LCM(412,748,408) = 462264

∴ Least Common Multiple of 412,748,408 is 462264

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 412, 748, 408

1. What is the LCM of 412, 748, 408?

Answer: LCM of 412, 748, 408 is 462264.

2. What are the Factors of 462264?

Answer: Factors of 462264 are . There are integers that are factors of 462264

3. How to Find the LCM of 412, 748, 408 ?

Least Common Multiple of 412, 748, 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(412, 748, 408) = 2 x 2 x 2 x 3 x 11 x 17 x 103 = 462264.