Least Common Multiple of 47/91, 54/64, 677/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/91, 54/64, 677/123 quickly i.e. 1718226 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/91, 54/64, 677/123 is 1718226.

LCM(47/91, 54/64, 677/123) = 1718226

LCM of 47/91, 54/64, 677/123

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 47/91,54/64,677/123

Given numbers are 47/91,54/64,677/123

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 47,54,677

Least Common Multiple of Numerators i.e. LCM of 47,54,677 is 1718226.

GCF of Denominators means GCF of 91,64,123 as per the given fractions.

GCF of 91,64,123 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,54,677

LCM of Fractions 47/91,54/64,677/123 is 1718226

Given numbers has no common factors except 1. So, there LCM is their product i.e 1718226

Least Common Multiple of 47,54,677 with GCF Formula

Least Common Multiple of 47,54,677 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 47,54,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,54,677) = 1

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

GCF(47,54,677) x common factors =1 x 1 = 1

LCM(47,54,677) = ( 47 × 54 × 677 ) / 1

LCM(47,54,677) = 1718226 / 1

LCM(47,54,677) = 1718226


Lets's calculate GCF of 91,64,123

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1718226/1

Therefore the LCM of Fractions 47/91,54/64,677/123 is 1718226

Greatest Common Factor of 91,64,123 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,64,123 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Greatest Common Factor

We found the factors 91,64,123 . The biggest common factor number is the GCF number.
So the greatest common factor 91,64,123 is 1.


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 47/91, 54/64, 677/123

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 47/91, 54/64, 677/123?

Answer: LCM of Numerators as per given numbers 47/91, 54/64, 677/123 is

LCM of Numerators i.e. for 47,54,677 is 1718226

GCF of denominators i.e. for 91,64,123 is 1.

Thus, LCM of Fractions is 1718226.Finally, LCM of Fractions for 47/91, 54/64, 677/123 is 1718226.