Least Common Multiple of 52/987, 93/744, 338/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/987, 93/744, 338/480 quickly i.e. 20956 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/987, 93/744, 338/480 is 20956.

LCM(52/987, 93/744, 338/480) = 20956

LCM of 52/987, 93/744, 338/480

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 52/987,93/744,338/480

Given numbers are 52/987,93/744,338/480

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 52,93,338

Least Common Multiple of Numerators i.e. LCM of 52,93,338 is 62868.

GCF of Denominators means GCF of 987,744,480 as per the given fractions.

GCF of 987,744,480 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,93,338

LCM of Fractions 52/987,93/744,338/480 is 20956

2 52, 93, 338
13 26, 93, 169
2, 93, 13

∴ So the LCM of the given numbers is 2 x 13 x 2 x 93 x 13 = 62868

Least Common Multiple of 52,93,338 with GCF Formula

Least Common Multiple of 52,93,338 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 52,93,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,93,338) = 1

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

GCF(52,93,338) x common factors =1 x 26 = 26

LCM(52,93,338) = ( 52 × 93 × 338 ) / 26

LCM(52,93,338) = 1634568 / 26

LCM(52,93,338) = 62868


Lets's calculate GCF of 987,744,480

3 987, 744, 480
329, 248, 160

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62868/3

Therefore the LCM of Fractions 52/987,93/744,338/480 is 20956

Greatest Common Factor of 987,744,480 By Matching Biggest Common Factor Method

Greatest Common Factor of 987,744,480 By Matching Biggest Common Factor Method

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Greatest Common Factor

We found the factors 987,744,480 . The biggest common factor number is the GCF number.
So the greatest common factor 987,744,480 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 52/987, 93/744, 338/480

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 52/987, 93/744, 338/480?

Answer: LCM of Numerators as per given numbers 52/987, 93/744, 338/480 is

LCM of Numerators i.e. for 52,93,338 is 62868

GCF of denominators i.e. for 987,744,480 is 3.

Thus, LCM of Fractions is 20956.Finally, LCM of Fractions for 52/987, 93/744, 338/480 is 20956.