Least Common Multiple of 342, 304, 920

Q: How to Find the LCM of 342, 304, 920 ?

Least Common Multiple of 342, 304, 920 = 314640 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(342, 304, 920) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 19 x 23 = 314640.

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 342, 304, 920 i.e. 314640 smallest integer divisible by all numbers.

Least common multiple (LCM) of 342, 304, 920 is 314640.

LCM(342, 304, 920) = 314640

LCM of 342, 304, 920

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

Least Common Multiple of 342, 304, 920 by common division method
Least Common Multiple of 342, 304, 920 with GCF Formula

Least Common Multiple of 342,304,920

Least Common Multiple (LCM) of 342,304,920 is 314640

2	342, 304, 920
2	171, 152, 460
2	171, 76, 230
19	171, 38, 115
	9, 2, 115

∴ So the LCM of the given numbers is 2 x 2 x 2 x 19 x 9 x 2 x 115 = 314640

Least Common Multiple of 342,304,920 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 342,304,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,304,920) = 2

common factors(in case of two or more numbers have common factors) = 152

GCF(342,304,920) x common factors =2 x 152 = 304

LCM(342,304,920) = ( 342 × 304 × 920 ) / 304

LCM(342,304,920) = 95650560 / 304

LCM(342,304,920) = 314640

∴ Least Common Multiple of 342,304,920 is 314640

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 342, 304, 920

1. What is the LCM of 342, 304, 920?

Answer: LCM of 342, 304, 920 is 314640.

2. What are the Factors of 314640?

Answer: Factors of 314640 are . There are integers that are factors of 314640

3. How to Find the LCM of 342, 304, 920 ?

Least Common Multiple of 342, 304, 920.

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(342, 304, 920) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 19 x 23 = 314640.