Least Common Multiple of 26/78, 88/60, 48/84, 66/723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/78, 88/60, 48/84, 66/723 quickly i.e. 2288 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/78, 88/60, 48/84, 66/723 is 2288.

LCM(26/78, 88/60, 48/84, 66/723) = 2288

LCM of 26/78, 88/60, 48/84, 66/723

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 26/78,88/60,48/84,66/723

Given numbers are 26/78,88/60,48/84,66/723

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 26,88,48,66

Least Common Multiple of Numerators i.e. LCM of 26,88,48,66 is 6864.

GCF of Denominators means GCF of 78,60,84,723 as per the given fractions.

GCF of 78,60,84,723 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,88,48,66

LCM of Fractions 26/78,88/60,48/84,66/723 is 2288

2 26, 88, 48, 66
2 13, 44, 24, 33
2 13, 22, 12, 33
3 13, 11, 6, 33
11 13, 11, 2, 11
13, 1, 2, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 11 x 13 x 1 x 2 x 1 = 6864

Least Common Multiple of 26,88,48,66 with GCF Formula

Least Common Multiple of 26,88,48,66 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 26,88,48,66 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,88,48,66) = 2

common factors(in case of two or more numbers have common factors) = 528

GCF(26,88,48,66) x common factors =2 x 528 = 1056

LCM(26,88,48,66) = ( 26 × 88 × 48 × 66 ) / 1056

LCM(26,88,48,66) = 7248384 / 1056

LCM(26,88,48,66) = 6864


Lets's calculate GCF of 78,60,84,723

3 78, 60, 84, 723
26, 20, 28, 241

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6864/3

Therefore the LCM of Fractions 26/78,88/60,48/84,66/723 is 2288

Greatest Common Factor of 78,60,84,723 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,60,84,723 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 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Greatest Common Factor

We found the factors 78,60,84,723 . The biggest common factor number is the GCF number.
So the greatest common factor 78,60,84,723 is 3.


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 26/78, 88/60, 48/84, 66/723

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 26/78, 88/60, 48/84, 66/723?

Answer: LCM of Numerators as per given numbers 26/78, 88/60, 48/84, 66/723 is

LCM of Numerators i.e. for 26,88,48,66 is 6864

GCF of denominators i.e. for 78,60,84,723 is 3.

Thus, LCM of Fractions is 2288.Finally, LCM of Fractions for 26/78, 88/60, 48/84, 66/723 is 2288.