Least Common Multiple of 820, 401, 975, 344

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 820, 401, 975, 344 i.e. 5514311400 smallest integer divisible by all numbers.

Least common multiple (LCM) of 820, 401, 975, 344 is 5514311400.

LCM(820, 401, 975, 344) = 5514311400

LCM of 820, 401, 975, 344

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

LCM of:

Least Common Multiple of 820,401,975,344

Least Common Multiple (LCM) of 820,401,975,344 is 5514311400

2 820, 401, 975, 344
2 410, 401, 975, 172
5 205, 401, 975, 86
41, 401, 195, 86

∴ So the LCM of the given numbers is 2 x 2 x 5 x 41 x 401 x 195 x 86 = 5514311400

Least Common Multiple of 820,401,975,344 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 820,401,975,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(820,401,975,344) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(820,401,975,344) x common factors =1 x 20 = 20

LCM(820,401,975,344) = ( 820 × 401 × 975 × 344 ) / 20

LCM(820,401,975,344) = 110286228000 / 20

LCM(820,401,975,344) = 5514311400

∴ Least Common Multiple of 820,401,975,344 is 5514311400

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 820, 401, 975, 344

1. What is the LCM of 820, 401, 975, 344?

Answer: LCM of 820, 401, 975, 344 is 5514311400.

2. What are the Factors of 5514311400?

Answer: Factors of 5514311400 are . There are integers that are factors of 5514311400

3. How to Find the LCM of 820, 401, 975, 344 ?

Least Common Multiple of 820, 401, 975, 344.

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(820, 401, 975, 344) = 2 x 2 x 2 x 3 x 5 x 5 x 13 x 41 x 43 x 401 = 5514311400.