Least Common Multiple of 44/547, 12/761

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 44/547, 12/761 quickly i.e. 132 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/547, 12/761 is 132.

LCM(44/547, 12/761) = 132

LCM of 44/547, 12/761

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 44/547,12/761

Given numbers are 44/547,12/761

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 44,12

Least Common Multiple of Numerators i.e. LCM of 44,12 is 132.

GCF of Denominators means GCF of 547,761 as per the given fractions.

GCF of 547,761 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,12

LCM of Fractions 44/547,12/761 is 132

2 44, 12
2 22, 6
11, 3

∴ So the LCM of the given numbers is 2 x 2 x 11 x 3 = 132

Least Common Multiple of 44,12 with GCF Formula

Least Common Multiple of 44,12 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 44,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,12) = 4

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

GCF(44,12) x common factors =4 x 1 = 4

LCM(44,12) = ( 44 × 12 ) / 4

LCM(44,12) = 528 / 4

LCM(44,12) = 132


Lets's calculate GCF of 547,761

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 132/1

Therefore the LCM of Fractions 44/547,12/761 is 132

Greatest Common Factor of 547,761 By Matching Biggest Common Factor Method

Greatest Common Factor of 547,761 By Matching Biggest Common Factor Method

Factors of 547

List of positive integer factors of 547 that divides 547 without a remainder.

1,547

Factors of 761

List of positive integer factors of 761 that divides 761 without a remainder.

1,761

Greatest Common Factor

We found the factors 547,761 . The biggest common factor number is the GCF number.
So the greatest common factor 547,761 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 44/547, 12/761

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 44/547, 12/761?

Answer: LCM of Numerators as per given numbers 44/547, 12/761 is

LCM of Numerators i.e. for 44,12 is 132

GCF of denominators i.e. for 547,761 is 1.

Thus, LCM of Fractions is 132.Finally, LCM of Fractions for 44/547, 12/761 is 132.