Least Common Multiple of 82, 25, 75, 738

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 82, 25, 75, 738 i.e. 18450 smallest integer divisible by all numbers.

Least common multiple (LCM) of 82, 25, 75, 738 is 18450.

LCM(82, 25, 75, 738) = 18450

LCM of 82, 25, 75, 738

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

LCM of:

Least Common Multiple of 82,25,75,738

Least Common Multiple (LCM) of 82,25,75,738 is 18450

2 82, 25, 75, 738
3 41, 25, 75, 369
5 41, 25, 25, 123
5 41, 5, 5, 123
41 41, 1, 1, 123
1, 1, 1, 3

∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 41 x 1 x 1 x 1 x 3 = 18450

Least Common Multiple of 82,25,75,738 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 82,25,75,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,25,75,738) = 1

common factors(in case of two or more numbers have common factors) = 6150

GCF(82,25,75,738) x common factors =1 x 6150 = 6150

LCM(82,25,75,738) = ( 82 × 25 × 75 × 738 ) / 6150

LCM(82,25,75,738) = 113467500 / 6150

LCM(82,25,75,738) = 18450

∴ Least Common Multiple of 82,25,75,738 is 18450

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 82, 25, 75, 738

1. What is the LCM of 82, 25, 75, 738?

Answer: LCM of 82, 25, 75, 738 is 18450.

2. What are the Factors of 18450?

Answer: Factors of 18450 are . There are integers that are factors of 18450

3. How to Find the LCM of 82, 25, 75, 738 ?

Least Common Multiple of 82, 25, 75, 738.

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(82, 25, 75, 738) = 2 x 3 x 3 x 5 x 5 x 41 = 18450.