Least Common Multiple of 82/944, 44/656, 380/265

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 82/944, 44/656, 380/265 quickly i.e. 171380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/944, 44/656, 380/265 is 171380.

LCM(82/944, 44/656, 380/265) = 171380

LCM of 82/944, 44/656, 380/265

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 82/944,44/656,380/265

Given numbers are 82/944,44/656,380/265

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 82,44,380

Least Common Multiple of Numerators i.e. LCM of 82,44,380 is 171380.

GCF of Denominators means GCF of 944,656,265 as per the given fractions.

GCF of 944,656,265 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,44,380

LCM of Fractions 82/944,44/656,380/265 is 171380

2 82, 44, 380
2 41, 22, 190
41, 11, 95

∴ So the LCM of the given numbers is 2 x 2 x 41 x 11 x 95 = 171380

Least Common Multiple of 82,44,380 with GCF Formula

Least Common Multiple of 82,44,380 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 82,44,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,44,380) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(82,44,380) x common factors =2 x 4 = 8

LCM(82,44,380) = ( 82 × 44 × 380 ) / 8

LCM(82,44,380) = 1371040 / 8

LCM(82,44,380) = 171380


Lets's calculate GCF of 944,656,265

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 171380/1

Therefore the LCM of Fractions 82/944,44/656,380/265 is 171380

Greatest Common Factor of 944,656,265 By Matching Biggest Common Factor Method

Greatest Common Factor of 944,656,265 By Matching Biggest Common Factor Method

Factors of 944

List of positive integer factors of 944 that divides 944 without a remainder.

1,2,4,8,16,59,118,236,472,944

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Greatest Common Factor

We found the factors 944,656,265 . The biggest common factor number is the GCF number.
So the greatest common factor 944,656,265 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 82/944, 44/656, 380/265

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 82/944, 44/656, 380/265?

Answer: LCM of Numerators as per given numbers 82/944, 44/656, 380/265 is

LCM of Numerators i.e. for 82,44,380 is 171380

GCF of denominators i.e. for 944,656,265 is 1.

Thus, LCM of Fractions is 171380.Finally, LCM of Fractions for 82/944, 44/656, 380/265 is 171380.