Least Common Multiple of 54/78, 64/35, 77/21, 41/461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/78, 64/35, 77/21, 41/461 quickly i.e. 5455296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/78, 64/35, 77/21, 41/461 is 5455296.

LCM(54/78, 64/35, 77/21, 41/461) = 5455296

LCM of 54/78, 64/35, 77/21, 41/461

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 54/78,64/35,77/21,41/461

Given numbers are 54/78,64/35,77/21,41/461

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 54,64,77,41

Least Common Multiple of Numerators i.e. LCM of 54,64,77,41 is 5455296.

GCF of Denominators means GCF of 78,35,21,461 as per the given fractions.

GCF of 78,35,21,461 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,64,77,41

LCM of Fractions 54/78,64/35,77/21,41/461 is 5455296

2 54, 64, 77, 41
27, 32, 77, 41

∴ So the LCM of the given numbers is 2 x 27 x 32 x 77 x 41 = 5455296

Least Common Multiple of 54,64,77,41 with GCF Formula

Least Common Multiple of 54,64,77,41 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 54,64,77,41 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,64,77,41) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(54,64,77,41) x common factors =1 x 2 = 2

LCM(54,64,77,41) = ( 54 × 64 × 77 × 41 ) / 2

LCM(54,64,77,41) = 10910592 / 2

LCM(54,64,77,41) = 5455296


Lets's calculate GCF of 78,35,21,461

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5455296/1

Therefore the LCM of Fractions 54/78,64/35,77/21,41/461 is 5455296

Greatest Common Factor of 78,35,21,461 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,35,21,461 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 461

List of positive integer factors of 461 that divides 461 without a remainder.

1,461

Greatest Common Factor

We found the factors 78,35,21,461 . The biggest common factor number is the GCF number.
So the greatest common factor 78,35,21,461 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 54/78, 64/35, 77/21, 41/461

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 54/78, 64/35, 77/21, 41/461?

Answer: LCM of Numerators as per given numbers 54/78, 64/35, 77/21, 41/461 is

LCM of Numerators i.e. for 54,64,77,41 is 5455296

GCF of denominators i.e. for 78,35,21,461 is 1.

Thus, LCM of Fractions is 5455296.Finally, LCM of Fractions for 54/78, 64/35, 77/21, 41/461 is 5455296.