Least Common Multiple of 78/48, 77/16, 754/242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/48, 77/16, 754/242 quickly i.e. 87087 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/48, 77/16, 754/242 is 87087.

LCM(78/48, 77/16, 754/242) = 87087

LCM of 78/48, 77/16, 754/242

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 78/48,77/16,754/242

Given numbers are 78/48,77/16,754/242

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 78,77,754

Least Common Multiple of Numerators i.e. LCM of 78,77,754 is 174174.

GCF of Denominators means GCF of 48,16,242 as per the given fractions.

GCF of 48,16,242 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,77,754

LCM of Fractions 78/48,77/16,754/242 is 87087

2 78, 77, 754
13 39, 77, 377
3, 77, 29

∴ So the LCM of the given numbers is 2 x 13 x 3 x 77 x 29 = 174174

Least Common Multiple of 78,77,754 with GCF Formula

Least Common Multiple of 78,77,754 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 78,77,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,77,754) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(78,77,754) x common factors =1 x 26 = 26

LCM(78,77,754) = ( 78 × 77 × 754 ) / 26

LCM(78,77,754) = 4528524 / 26

LCM(78,77,754) = 174174


Lets's calculate GCF of 48,16,242

2 48, 16, 242
24, 8, 121

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 174174/2

Therefore the LCM of Fractions 78/48,77/16,754/242 is 87087

Greatest Common Factor of 48,16,242 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,16,242 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Greatest Common Factor

We found the factors 48,16,242 . The biggest common factor number is the GCF number.
So the greatest common factor 48,16,242 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 78/48, 77/16, 754/242

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 78/48, 77/16, 754/242?

Answer: LCM of Numerators as per given numbers 78/48, 77/16, 754/242 is

LCM of Numerators i.e. for 78,77,754 is 174174

GCF of denominators i.e. for 48,16,242 is 2.

Thus, LCM of Fractions is 87087.Finally, LCM of Fractions for 78/48, 77/16, 754/242 is 87087.