Least Common Multiple of 408, 520, 351

Q: How to Find the LCM of 408, 520, 351 ?

Least Common Multiple of 408, 520, 351 = 238680 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(408, 520, 351) = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 13 x 17 = 238680.

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 408, 520, 351 i.e. 238680 smallest integer divisible by all numbers.

Least common multiple (LCM) of 408, 520, 351 is 238680.

LCM(408, 520, 351) = 238680

LCM of 408, 520, 351

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

Least Common Multiple of 408, 520, 351 by common division method
Least Common Multiple of 408, 520, 351 with GCF Formula

Least Common Multiple of 408,520,351

Least Common Multiple (LCM) of 408,520,351 is 238680

2	408, 520, 351
2	204, 260, 351
2	102, 130, 351
3	51, 65, 351
13	17, 65, 117
	17, 5, 9

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 13 x 17 x 5 x 9 = 238680

Least Common Multiple of 408,520,351 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 408,520,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(408,520,351) = 1

common factors(in case of two or more numbers have common factors) = 312

GCF(408,520,351) x common factors =1 x 312 = 312

LCM(408,520,351) = ( 408 × 520 × 351 ) / 312

LCM(408,520,351) = 74468160 / 312

LCM(408,520,351) = 238680

∴ Least Common Multiple of 408,520,351 is 238680

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 408, 520, 351

1. What is the LCM of 408, 520, 351?

Answer: LCM of 408, 520, 351 is 238680.

2. What are the Factors of 238680?

Answer: Factors of 238680 are . There are integers that are factors of 238680

3. How to Find the LCM of 408, 520, 351 ?

Least Common Multiple of 408, 520, 351.

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(408, 520, 351) = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 13 x 17 = 238680.