Least Common Multiple of 407, 354, 708

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 407, 354, 708 i.e. 288156 smallest integer divisible by all numbers.

Least common multiple (LCM) of 407, 354, 708 is 288156.

LCM(407, 354, 708) = 288156

LCM of 407, 354, 708

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

LCM of:

Least Common Multiple of 407,354,708

Least Common Multiple (LCM) of 407,354,708 is 288156

2 407, 354, 708
3 407, 177, 354
59 407, 59, 118
407, 1, 2

∴ So the LCM of the given numbers is 2 x 3 x 59 x 407 x 1 x 2 = 288156

Least Common Multiple of 407,354,708 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 407,354,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(407,354,708) = 1

common factors(in case of two or more numbers have common factors) = 354

GCF(407,354,708) x common factors =1 x 354 = 354

LCM(407,354,708) = ( 407 × 354 × 708 ) / 354

LCM(407,354,708) = 102007224 / 354

LCM(407,354,708) = 288156

∴ Least Common Multiple of 407,354,708 is 288156

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 407, 354, 708

1. What is the LCM of 407, 354, 708?

Answer: LCM of 407, 354, 708 is 288156.

2. What are the Factors of 288156?

Answer: Factors of 288156 are . There are integers that are factors of 288156

3. How to Find the LCM of 407, 354, 708 ?

Least Common Multiple of 407, 354, 708.

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(407, 354, 708) = 2 x 2 x 3 x 11 x 37 x 59 = 288156.