Least Common Multiple of 480, 642, 341, 354, 350

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, 642, 341, 354, 350 i.e. 36165914400 smallest integer divisible by all numbers.

Least common multiple (LCM) of 480, 642, 341, 354, 350 is 36165914400.

LCM(480, 642, 341, 354, 350) = 36165914400

LCM of 480, 642, 341, 354, 350

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

LCM of:

Least Common Multiple of 480,642,341,354,350

Least Common Multiple (LCM) of 480,642,341,354,350 is 36165914400

2 480, 642, 341, 354, 350
3 240, 321, 341, 177, 175
5 80, 107, 341, 59, 175
16, 107, 341, 59, 35

∴ So the LCM of the given numbers is 2 x 3 x 5 x 16 x 107 x 341 x 59 x 35 = 36165914400

Least Common Multiple of 480,642,341,354,350 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 480,642,341,354,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,642,341,354,350) = 1

common factors(in case of two or more numbers have common factors) = 360

GCF(480,642,341,354,350) x common factors =1 x 360 = 360

LCM(480,642,341,354,350) = ( 480 × 642 × 341 × 354 × 350 ) / 360

LCM(480,642,341,354,350) = 13019729184000 / 360

LCM(480,642,341,354,350) = 36165914400

∴ Least Common Multiple of 480,642,341,354,350 is 36165914400

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 480, 642, 341, 354, 350

1. What is the LCM of 480, 642, 341, 354, 350?

Answer: LCM of 480, 642, 341, 354, 350 is 36165914400.

2. What are the Factors of 36165914400?

Answer: Factors of 36165914400 are . There are integers that are factors of 36165914400

3. How to Find the LCM of 480, 642, 341, 354, 350 ?

Least Common Multiple of 480, 642, 341, 354, 350.

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, 642, 341, 354, 350) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 7 x 11 x 31 x 59 x 107 = 36165914400.