Least Common Multiple of 132/28, 524/95, 367/548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 132/28, 524/95, 367/548 quickly i.e. 6346164 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 132/28, 524/95, 367/548 is 6346164.

LCM(132/28, 524/95, 367/548) = 6346164

LCM of 132/28, 524/95, 367/548

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 132/28,524/95,367/548

Given numbers are 132/28,524/95,367/548

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 132,524,367

Least Common Multiple of Numerators i.e. LCM of 132,524,367 is 6346164.

GCF of Denominators means GCF of 28,95,548 as per the given fractions.

GCF of 28,95,548 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 132,524,367

LCM of Fractions 132/28,524/95,367/548 is 6346164

2 132, 524, 367
2 66, 262, 367
33, 131, 367

∴ So the LCM of the given numbers is 2 x 2 x 33 x 131 x 367 = 6346164

Least Common Multiple of 132,524,367 with GCF Formula

Least Common Multiple of 132,524,367 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 132,524,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(132,524,367) = 1

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

GCF(132,524,367) x common factors =1 x 4 = 4

LCM(132,524,367) = ( 132 × 524 × 367 ) / 4

LCM(132,524,367) = 25384656 / 4

LCM(132,524,367) = 6346164


Lets's calculate GCF of 28,95,548

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6346164/1

Therefore the LCM of Fractions 132/28,524/95,367/548 is 6346164

Greatest Common Factor of 28,95,548 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,95,548 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Greatest Common Factor

We found the factors 28,95,548 . The biggest common factor number is the GCF number.
So the greatest common factor 28,95,548 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 132/28, 524/95, 367/548

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 132/28, 524/95, 367/548?

Answer: LCM of Numerators as per given numbers 132/28, 524/95, 367/548 is

LCM of Numerators i.e. for 132,524,367 is 6346164

GCF of denominators i.e. for 28,95,548 is 1.

Thus, LCM of Fractions is 6346164.Finally, LCM of Fractions for 132/28, 524/95, 367/548 is 6346164.