Least Common Multiple of 480, 609, 264, 389, 334

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, 609, 264, 389, 334 i.e. 69629941920 smallest integer divisible by all numbers.

Least common multiple (LCM) of 480, 609, 264, 389, 334 is 69629941920.

LCM(480, 609, 264, 389, 334) = 69629941920

LCM of 480, 609, 264, 389, 334

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

LCM of:

Least Common Multiple of 480,609,264,389,334

Least Common Multiple (LCM) of 480,609,264,389,334 is 69629941920

2 480, 609, 264, 389, 334
2 240, 609, 132, 389, 167
2 120, 609, 66, 389, 167
3 60, 609, 33, 389, 167
20, 203, 11, 389, 167

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 20 x 203 x 11 x 389 x 167 = 69629941920

Least Common Multiple of 480,609,264,389,334 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 480,609,264,389,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,609,264,389,334) = 1

common factors(in case of two or more numbers have common factors) = 144

GCF(480,609,264,389,334) x common factors =1 x 144 = 144

LCM(480,609,264,389,334) = ( 480 × 609 × 264 × 389 × 334 ) / 144

LCM(480,609,264,389,334) = 10026711636480 / 144

LCM(480,609,264,389,334) = 69629941920

∴ Least Common Multiple of 480,609,264,389,334 is 69629941920

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 480, 609, 264, 389, 334

1. What is the LCM of 480, 609, 264, 389, 334?

Answer: LCM of 480, 609, 264, 389, 334 is 69629941920.

2. What are the Factors of 69629941920?

Answer: Factors of 69629941920 are . There are integers that are factors of 69629941920

3. How to Find the LCM of 480, 609, 264, 389, 334 ?

Least Common Multiple of 480, 609, 264, 389, 334.

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, 609, 264, 389, 334) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 11 x 29 x 167 x 389 = 69629941920.