Least Common Multiple of 78/522, 74/294, 130/252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/522, 74/294, 130/252 quickly i.e. 2405 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/522, 74/294, 130/252 is 2405.

LCM(78/522, 74/294, 130/252) = 2405

LCM of 78/522, 74/294, 130/252

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 78/522,74/294,130/252

Given numbers are 78/522,74/294,130/252

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 78,74,130

Least Common Multiple of Numerators i.e. LCM of 78,74,130 is 14430.

GCF of Denominators means GCF of 522,294,252 as per the given fractions.

GCF of 522,294,252 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,74,130

LCM of Fractions 78/522,74/294,130/252 is 2405

2 78, 74, 130
13 39, 37, 65
3, 37, 5

∴ So the LCM of the given numbers is 2 x 13 x 3 x 37 x 5 = 14430

Least Common Multiple of 78,74,130 with GCF Formula

Least Common Multiple of 78,74,130 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 78,74,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,74,130) = 2

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

GCF(78,74,130) x common factors =2 x 26 = 52

LCM(78,74,130) = ( 78 × 74 × 130 ) / 52

LCM(78,74,130) = 750360 / 52

LCM(78,74,130) = 14430


Lets's calculate GCF of 522,294,252

2 522, 294, 252
3 261, 147, 126
87, 49, 42

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14430/6

Therefore the LCM of Fractions 78/522,74/294,130/252 is 2405

Greatest Common Factor of 522,294,252 By Matching Biggest Common Factor Method

Greatest Common Factor of 522,294,252 By Matching Biggest Common Factor Method

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Greatest Common Factor

We found the factors 522,294,252 . The biggest common factor number is the GCF number.
So the greatest common factor 522,294,252 is 6.


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 78/522, 74/294, 130/252

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 78/522, 74/294, 130/252?

Answer: LCM of Numerators as per given numbers 78/522, 74/294, 130/252 is

LCM of Numerators i.e. for 78,74,130 is 14430

GCF of denominators i.e. for 522,294,252 is 6.

Thus, LCM of Fractions is 2405.Finally, LCM of Fractions for 78/522, 74/294, 130/252 is 2405.