Least Common Multiple of 71/53, 28/12, 877/157

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 71/53, 28/12, 877/157 quickly i.e. 1743476 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/53, 28/12, 877/157 is 1743476.

LCM(71/53, 28/12, 877/157) = 1743476

LCM of 71/53, 28/12, 877/157

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 71/53,28/12,877/157

Given numbers are 71/53,28/12,877/157

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 71,28,877

Least Common Multiple of Numerators i.e. LCM of 71,28,877 is 1743476.

GCF of Denominators means GCF of 53,12,157 as per the given fractions.

GCF of 53,12,157 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,28,877

LCM of Fractions 71/53,28/12,877/157 is 1743476

Given numbers has no common factors except 1. So, there LCM is their product i.e 1743476

Least Common Multiple of 71,28,877 with GCF Formula

Least Common Multiple of 71,28,877 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 71,28,877 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,28,877) = 1

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

GCF(71,28,877) x common factors =1 x 1 = 1

LCM(71,28,877) = ( 71 × 28 × 877 ) / 1

LCM(71,28,877) = 1743476 / 1

LCM(71,28,877) = 1743476


Lets's calculate GCF of 53,12,157

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1743476/1

Therefore the LCM of Fractions 71/53,28/12,877/157 is 1743476

Greatest Common Factor of 53,12,157 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,12,157 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Greatest Common Factor

We found the factors 53,12,157 . The biggest common factor number is the GCF number.
So the greatest common factor 53,12,157 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 71/53, 28/12, 877/157

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 71/53, 28/12, 877/157?

Answer: LCM of Numerators as per given numbers 71/53, 28/12, 877/157 is

LCM of Numerators i.e. for 71,28,877 is 1743476

GCF of denominators i.e. for 53,12,157 is 1.

Thus, LCM of Fractions is 1743476.Finally, LCM of Fractions for 71/53, 28/12, 877/157 is 1743476.