Least Common Multiple of 12/82, 85/54, 22/56, 54/824

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 12/82, 85/54, 22/56, 54/824 quickly i.e. 50490 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/82, 85/54, 22/56, 54/824 is 50490.

LCM(12/82, 85/54, 22/56, 54/824) = 50490

LCM of 12/82, 85/54, 22/56, 54/824

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 12/82,85/54,22/56,54/824

Given numbers are 12/82,85/54,22/56,54/824

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 12,85,22,54

Least Common Multiple of Numerators i.e. LCM of 12,85,22,54 is 100980.

GCF of Denominators means GCF of 82,54,56,824 as per the given fractions.

GCF of 82,54,56,824 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,85,22,54

LCM of Fractions 12/82,85/54,22/56,54/824 is 50490

2 12, 85, 22, 54
3 6, 85, 11, 27
2, 85, 11, 9

∴ So the LCM of the given numbers is 2 x 3 x 2 x 85 x 11 x 9 = 100980

Least Common Multiple of 12,85,22,54 with GCF Formula

Least Common Multiple of 12,85,22,54 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 12,85,22,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,85,22,54) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(12,85,22,54) x common factors =1 x 12 = 12

LCM(12,85,22,54) = ( 12 × 85 × 22 × 54 ) / 12

LCM(12,85,22,54) = 1211760 / 12

LCM(12,85,22,54) = 100980


Lets's calculate GCF of 82,54,56,824

2 82, 54, 56, 824
41, 27, 28, 412

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 100980/2

Therefore the LCM of Fractions 12/82,85/54,22/56,54/824 is 50490

Greatest Common Factor of 82,54,56,824 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,54,56,824 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 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Greatest Common Factor

We found the factors 82,54,56,824 . The biggest common factor number is the GCF number.
So the greatest common factor 82,54,56,824 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 12/82, 85/54, 22/56, 54/824

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 12/82, 85/54, 22/56, 54/824?

Answer: LCM of Numerators as per given numbers 12/82, 85/54, 22/56, 54/824 is

LCM of Numerators i.e. for 12,85,22,54 is 100980

GCF of denominators i.e. for 82,54,56,824 is 2.

Thus, LCM of Fractions is 50490.Finally, LCM of Fractions for 12/82, 85/54, 22/56, 54/824 is 50490.