Least Common Multiple of 480, 338, 842, 364

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 480, 338, 842, 364 i.e. 239060640 smallest integer divisible by all numbers.

Least common multiple (LCM) of 480, 338, 842, 364 is 239060640.

LCM(480, 338, 842, 364) = 239060640

LCM of 480, 338, 842, 364

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

LCM of:

Least Common Multiple of 480,338,842,364

Least Common Multiple (LCM) of 480,338,842,364 is 239060640

2 480, 338, 842, 364
2 240, 169, 421, 182
13 120, 169, 421, 91
120, 13, 421, 7

∴ So the LCM of the given numbers is 2 x 2 x 13 x 120 x 13 x 421 x 7 = 239060640

Least Common Multiple of 480,338,842,364 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 480,338,842,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,338,842,364) = 2

common factors(in case of two or more numbers have common factors) = 104

GCF(480,338,842,364) x common factors =2 x 104 = 208

LCM(480,338,842,364) = ( 480 × 338 × 842 × 364 ) / 208

LCM(480,338,842,364) = 49724613120 / 208

LCM(480,338,842,364) = 239060640

∴ Least Common Multiple of 480,338,842,364 is 239060640

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 480, 338, 842, 364

1. What is the LCM of 480, 338, 842, 364?

Answer: LCM of 480, 338, 842, 364 is 239060640.

2. What are the Factors of 239060640?

Answer: Factors of 239060640 are . There are integers that are factors of 239060640

3. How to Find the LCM of 480, 338, 842, 364 ?

Least Common Multiple of 480, 338, 842, 364.

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(480, 338, 842, 364) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 13 x 13 x 421 = 239060640.