Least Common Multiple of 157/55, 506/6877

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 157/55, 506/6877 quickly i.e. 79442 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 157/55, 506/6877 is 79442.

LCM(157/55, 506/6877) = 79442

LCM of 157/55, 506/6877

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 157/55,506/6877

Given numbers are 157/55,506/6877

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 157,506

Least Common Multiple of Numerators i.e. LCM of 157,506 is 79442.

GCF of Denominators means GCF of 55,6877 as per the given fractions.

GCF of 55,6877 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 157,506

LCM of Fractions 157/55,506/6877 is 79442

Given numbers has no common factors except 1. So, there LCM is their product i.e 79442

Least Common Multiple of 157,506 with GCF Formula

Least Common Multiple of 157,506 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 157,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(157,506) = 1

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

GCF(157,506) x common factors =1 x 1 = 1

LCM(157,506) = ( 157 × 506 ) / 1

LCM(157,506) = 79442 / 1

LCM(157,506) = 79442


Lets's calculate GCF of 55,6877

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79442/1

Therefore the LCM of Fractions 157/55,506/6877 is 79442

Greatest Common Factor of 55,6877 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,6877 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 6877

List of positive integer factors of 6877 that divides 6877 without a remainder.

1,13,23,299,529,6877

Greatest Common Factor

We found the factors 55,6877 . The biggest common factor number is the GCF number.
So the greatest common factor 55,6877 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 157/55, 506/6877

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 157/55, 506/6877?

Answer: LCM of Numerators as per given numbers 157/55, 506/6877 is

LCM of Numerators i.e. for 157,506 is 79442

GCF of denominators i.e. for 55,6877 is 1.

Thus, LCM of Fractions is 79442.Finally, LCM of Fractions for 157/55, 506/6877 is 79442.