Least Common Multiple of 71, 82, 75, 690

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 71, 82, 75, 690 i.e. 10042950 smallest integer divisible by all numbers.

Least common multiple (LCM) of 71, 82, 75, 690 is 10042950.

LCM(71, 82, 75, 690) = 10042950

LCM of 71, 82, 75, 690

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

LCM of:

Least Common Multiple of 71,82,75,690

Least Common Multiple (LCM) of 71,82,75,690 is 10042950

2 71, 82, 75, 690
3 71, 41, 75, 345
5 71, 41, 25, 115
71, 41, 5, 23

∴ So the LCM of the given numbers is 2 x 3 x 5 x 71 x 41 x 5 x 23 = 10042950

Least Common Multiple of 71,82,75,690 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 71,82,75,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,82,75,690) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(71,82,75,690) x common factors =1 x 30 = 30

LCM(71,82,75,690) = ( 71 × 82 × 75 × 690 ) / 30

LCM(71,82,75,690) = 301288500 / 30

LCM(71,82,75,690) = 10042950

∴ Least Common Multiple of 71,82,75,690 is 10042950

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 71, 82, 75, 690

1. What is the LCM of 71, 82, 75, 690?

Answer: LCM of 71, 82, 75, 690 is 10042950.

2. What are the Factors of 10042950?

Answer: Factors of 10042950 are . There are integers that are factors of 10042950

3. How to Find the LCM of 71, 82, 75, 690 ?

Least Common Multiple of 71, 82, 75, 690.

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(71, 82, 75, 690) = 2 x 3 x 5 x 5 x 23 x 41 x 71 = 10042950.