Least Common Multiple of 77/78, 61/24, 44/60, 33/526

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/78, 61/24, 44/60, 33/526 quickly i.e. 28182 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/78, 61/24, 44/60, 33/526 is 28182.

LCM(77/78, 61/24, 44/60, 33/526) = 28182

LCM of 77/78, 61/24, 44/60, 33/526

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 77/78,61/24,44/60,33/526

Given numbers are 77/78,61/24,44/60,33/526

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 77,61,44,33

Least Common Multiple of Numerators i.e. LCM of 77,61,44,33 is 56364.

GCF of Denominators means GCF of 78,24,60,526 as per the given fractions.

GCF of 78,24,60,526 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,61,44,33

LCM of Fractions 77/78,61/24,44/60,33/526 is 28182

11 77, 61, 44, 33
7, 61, 4, 3

∴ So the LCM of the given numbers is 11 x 7 x 61 x 4 x 3 = 56364

Least Common Multiple of 77,61,44,33 with GCF Formula

Least Common Multiple of 77,61,44,33 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 77,61,44,33 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,61,44,33) = 1

common factors(in case of two or more numbers have common factors) = 121

GCF(77,61,44,33) x common factors =1 x 121 = 121

LCM(77,61,44,33) = ( 77 × 61 × 44 × 33 ) / 121

LCM(77,61,44,33) = 6820044 / 121

LCM(77,61,44,33) = 56364


Lets's calculate GCF of 78,24,60,526

2 78, 24, 60, 526
39, 12, 30, 263

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56364/2

Therefore the LCM of Fractions 77/78,61/24,44/60,33/526 is 28182

Greatest Common Factor of 78,24,60,526 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,24,60,526 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 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

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 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Greatest Common Factor

We found the factors 78,24,60,526 . The biggest common factor number is the GCF number.
So the greatest common factor 78,24,60,526 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 77/78, 61/24, 44/60, 33/526

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 77/78, 61/24, 44/60, 33/526?

Answer: LCM of Numerators as per given numbers 77/78, 61/24, 44/60, 33/526 is

LCM of Numerators i.e. for 77,61,44,33 is 56364

GCF of denominators i.e. for 78,24,60,526 is 2.

Thus, LCM of Fractions is 28182.Finally, LCM of Fractions for 77/78, 61/24, 44/60, 33/526 is 28182.