Least Common Multiple of 5/74, 20/66, 826/82

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5/74, 20/66, 826/82 quickly i.e. 4130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5/74, 20/66, 826/82 is 4130.

LCM(5/74, 20/66, 826/82) = 4130

LCM of 5/74, 20/66, 826/82

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 5/74,20/66,826/82

Given numbers are 5/74,20/66,826/82

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 5,20,826

Least Common Multiple of Numerators i.e. LCM of 5,20,826 is 8260.

GCF of Denominators means GCF of 74,66,82 as per the given fractions.

GCF of 74,66,82 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5,20,826

LCM of Fractions 5/74,20/66,826/82 is 4130

2 5, 20, 826
5 5, 10, 413
1, 2, 413

∴ So the LCM of the given numbers is 2 x 5 x 1 x 2 x 413 = 8260

Least Common Multiple of 5,20,826 with GCF Formula

Least Common Multiple of 5,20,826 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 5,20,826 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5,20,826) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(5,20,826) x common factors =1 x 10 = 10

LCM(5,20,826) = ( 5 × 20 × 826 ) / 10

LCM(5,20,826) = 82600 / 10

LCM(5,20,826) = 8260


Lets's calculate GCF of 74,66,82

2 74, 66, 82
37, 33, 41

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8260/2

Therefore the LCM of Fractions 5/74,20/66,826/82 is 4130

Greatest Common Factor of 74,66,82 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,66,82 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 82

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

1,2,41,82

Greatest Common Factor

We found the factors 74,66,82 . The biggest common factor number is the GCF number.
So the greatest common factor 74,66,82 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5/74, 20/66, 826/82

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 5/74, 20/66, 826/82?

Answer: LCM of Numerators as per given numbers 5/74, 20/66, 826/82 is

LCM of Numerators i.e. for 5,20,826 is 8260

GCF of denominators i.e. for 74,66,82 is 2.

Thus, LCM of Fractions is 4130.Finally, LCM of Fractions for 5/74, 20/66, 826/82 is 4130.