Least Common Multiple of 82/42, 870/76, 165/109

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/42, 870/76, 165/109 quickly i.e. 392370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/42, 870/76, 165/109 is 392370.

LCM(82/42, 870/76, 165/109) = 392370

LCM of 82/42, 870/76, 165/109

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 82/42,870/76,165/109

Given numbers are 82/42,870/76,165/109

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 82,870,165

Least Common Multiple of Numerators i.e. LCM of 82,870,165 is 392370.

GCF of Denominators means GCF of 42,76,109 as per the given fractions.

GCF of 42,76,109 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,870,165

LCM of Fractions 82/42,870/76,165/109 is 392370

2 82, 870, 165
3 41, 435, 165
5 41, 145, 55
41, 29, 11

∴ So the LCM of the given numbers is 2 x 3 x 5 x 41 x 29 x 11 = 392370

Least Common Multiple of 82,870,165 with GCF Formula

Least Common Multiple of 82,870,165 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 82,870,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,870,165) = 1

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

GCF(82,870,165) x common factors =1 x 30 = 30

LCM(82,870,165) = ( 82 × 870 × 165 ) / 30

LCM(82,870,165) = 11771100 / 30

LCM(82,870,165) = 392370


Lets's calculate GCF of 42,76,109

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 392370/1

Therefore the LCM of Fractions 82/42,870/76,165/109 is 392370

Greatest Common Factor of 42,76,109 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,76,109 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Greatest Common Factor

We found the factors 42,76,109 . The biggest common factor number is the GCF number.
So the greatest common factor 42,76,109 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 82/42, 870/76, 165/109

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 82/42, 870/76, 165/109?

Answer: LCM of Numerators as per given numbers 82/42, 870/76, 165/109 is

LCM of Numerators i.e. for 82,870,165 is 392370

GCF of denominators i.e. for 42,76,109 is 1.

Thus, LCM of Fractions is 392370.Finally, LCM of Fractions for 82/42, 870/76, 165/109 is 392370.