Least Common Multiple of 676/82, 244/5520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 676/82, 244/5520 quickly i.e. 20618 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 676/82, 244/5520 is 20618.

LCM(676/82, 244/5520) = 20618

LCM of 676/82, 244/5520

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 676/82,244/5520

Given numbers are 676/82,244/5520

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 676,244

Least Common Multiple of Numerators i.e. LCM of 676,244 is 41236.

GCF of Denominators means GCF of 82,5520 as per the given fractions.

GCF of 82,5520 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 676,244

LCM of Fractions 676/82,244/5520 is 20618

2 676, 244
2 338, 122
169, 61

∴ So the LCM of the given numbers is 2 x 2 x 169 x 61 = 41236

Least Common Multiple of 676,244 with GCF Formula

Least Common Multiple of 676,244 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 676,244 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(676,244) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(676,244) x common factors =4 x 1 = 4

LCM(676,244) = ( 676 × 244 ) / 4

LCM(676,244) = 164944 / 4

LCM(676,244) = 41236


Lets's calculate GCF of 82,5520

2 82, 5520
41, 2760

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41236/2

Therefore the LCM of Fractions 676/82,244/5520 is 20618

Greatest Common Factor of 82,5520 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,5520 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 5520

List of positive integer factors of 5520 that divides 5520 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,23,24,30,40,46,48,60,69,80,92,115,120,138,184,230,240,276,345,368,460,552,690,920,1104,1380,1840,2760,5520

Greatest Common Factor

We found the factors 82,5520 . The biggest common factor number is the GCF number.
So the greatest common factor 82,5520 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 676/82, 244/5520

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 676/82, 244/5520?

Answer: LCM of Numerators as per given numbers 676/82, 244/5520 is

LCM of Numerators i.e. for 676,244 is 41236

GCF of denominators i.e. for 82,5520 is 2.

Thus, LCM of Fractions is 20618.Finally, LCM of Fractions for 676/82, 244/5520 is 20618.