Least Common Multiple of 341, 720, 464, 750, 961

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 341, 720, 464, 750, 961 i.e. 5518062000 smallest integer divisible by all numbers.

Least common multiple (LCM) of 341, 720, 464, 750, 961 is 5518062000.

LCM(341, 720, 464, 750, 961) = 5518062000

LCM of 341, 720, 464, 750, 961

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

LCM of:

Least Common Multiple of 341,720,464,750,961

Least Common Multiple (LCM) of 341,720,464,750,961 is 5518062000

2 341, 720, 464, 750, 961
2 341, 360, 232, 375, 961
2 341, 180, 116, 375, 961
2 341, 90, 58, 375, 961
3 341, 45, 29, 375, 961
5 341, 15, 29, 125, 961
31 341, 3, 29, 25, 961
11, 3, 29, 25, 31

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 5 x 31 x 11 x 3 x 29 x 25 x 31 = 5518062000

Least Common Multiple of 341,720,464,750,961 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 341,720,464,750,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(341,720,464,750,961) = 1

common factors(in case of two or more numbers have common factors) = 14880

GCF(341,720,464,750,961) x common factors =1 x 14880 = 14880

LCM(341,720,464,750,961) = ( 341 × 720 × 464 × 750 × 961 ) / 14880

LCM(341,720,464,750,961) = 82108762560000 / 14880

LCM(341,720,464,750,961) = 5518062000

∴ Least Common Multiple of 341,720,464,750,961 is 5518062000

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 341, 720, 464, 750, 961

1. What is the LCM of 341, 720, 464, 750, 961?

Answer: LCM of 341, 720, 464, 750, 961 is 5518062000.

2. What are the Factors of 5518062000?

Answer: Factors of 5518062000 are . There are integers that are factors of 5518062000

3. How to Find the LCM of 341, 720, 464, 750, 961 ?

Least Common Multiple of 341, 720, 464, 750, 961.

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(341, 720, 464, 750, 961) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 x 11 x 29 x 31 x 31 = 5518062000.