Least Common Multiple of 3/78, 5/26, 58/74, 96/654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/78, 5/26, 58/74, 96/654 quickly i.e. 6960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/78, 5/26, 58/74, 96/654 is 6960.

LCM(3/78, 5/26, 58/74, 96/654) = 6960

LCM of 3/78, 5/26, 58/74, 96/654

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 3/78,5/26,58/74,96/654

Given numbers are 3/78,5/26,58/74,96/654

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 3,5,58,96

Least Common Multiple of Numerators i.e. LCM of 3,5,58,96 is 13920.

GCF of Denominators means GCF of 78,26,74,654 as per the given fractions.

GCF of 78,26,74,654 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,5,58,96

LCM of Fractions 3/78,5/26,58/74,96/654 is 6960

2 3, 5, 58, 96
3 3, 5, 29, 48
1, 5, 29, 16

∴ So the LCM of the given numbers is 2 x 3 x 1 x 5 x 29 x 16 = 13920

Least Common Multiple of 3,5,58,96 with GCF Formula

Least Common Multiple of 3,5,58,96 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 3,5,58,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,5,58,96) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(3,5,58,96) x common factors =1 x 6 = 6

LCM(3,5,58,96) = ( 3 × 5 × 58 × 96 ) / 6

LCM(3,5,58,96) = 83520 / 6

LCM(3,5,58,96) = 13920


Lets's calculate GCF of 78,26,74,654

2 78, 26, 74, 654
39, 13, 37, 327

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13920/2

Therefore the LCM of Fractions 3/78,5/26,58/74,96/654 is 6960

Greatest Common Factor of 78,26,74,654 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,26,74,654 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 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Greatest Common Factor

We found the factors 78,26,74,654 . The biggest common factor number is the GCF number.
So the greatest common factor 78,26,74,654 is 2.


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 3/78, 5/26, 58/74, 96/654

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 3/78, 5/26, 58/74, 96/654?

Answer: LCM of Numerators as per given numbers 3/78, 5/26, 58/74, 96/654 is

LCM of Numerators i.e. for 3,5,58,96 is 13920

GCF of denominators i.e. for 78,26,74,654 is 2.

Thus, LCM of Fractions is 6960.Finally, LCM of Fractions for 3/78, 5/26, 58/74, 96/654 is 6960.