Least Common Multiple of 77/48, 107/20, 157/708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/48, 107/20, 157/708 quickly i.e. 1293523/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/48, 107/20, 157/708 is 1293523/4.

LCM(77/48, 107/20, 157/708) = 1293523/4

LCM of 77/48, 107/20, 157/708

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 77/48,107/20,157/708

Given numbers are 77/48,107/20,157/708

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 77,107,157

Least Common Multiple of Numerators i.e. LCM of 77,107,157 is 1293523.

GCF of Denominators means GCF of 48,20,708 as per the given fractions.

GCF of 48,20,708 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,107,157

LCM of Fractions 77/48,107/20,157/708 is 1293523/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 1293523

Least Common Multiple of 77,107,157 with GCF Formula

Least Common Multiple of 77,107,157 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 77,107,157 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,107,157) = 1

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

GCF(77,107,157) x common factors =1 x 1 = 1

LCM(77,107,157) = ( 77 × 107 × 157 ) / 1

LCM(77,107,157) = 1293523 / 1

LCM(77,107,157) = 1293523


Lets's calculate GCF of 48,20,708

2 48, 20, 708
2 24, 10, 354
12, 5, 177

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1293523/4

Therefore the LCM of Fractions 77/48,107/20,157/708 is 1293523/4

Greatest Common Factor of 48,20,708 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,20,708 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Greatest Common Factor

We found the factors 48,20,708 . The biggest common factor number is the GCF number.
So the greatest common factor 48,20,708 is 4.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 77/48, 107/20, 157/708

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 77/48, 107/20, 157/708?

Answer: LCM of Numerators as per given numbers 77/48, 107/20, 157/708 is

LCM of Numerators i.e. for 77,107,157 is 1293523

GCF of denominators i.e. for 48,20,708 is 4.

Thus, LCM of Fractions is 1293523/4.Finally, LCM of Fractions for 77/48, 107/20, 157/708 is 1293523/4.