Least Common Multiple of 108/562, 748/759

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 108/562, 748/759 quickly i.e. 20196 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 108/562, 748/759 is 20196.

LCM(108/562, 748/759) = 20196

LCM of 108/562, 748/759

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 108/562,748/759

Given numbers are 108/562,748/759

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 108,748

Least Common Multiple of Numerators i.e. LCM of 108,748 is 20196.

GCF of Denominators means GCF of 562,759 as per the given fractions.

GCF of 562,759 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 108,748

LCM of Fractions 108/562,748/759 is 20196

2 108, 748
2 54, 374
27, 187

∴ So the LCM of the given numbers is 2 x 2 x 27 x 187 = 20196

Least Common Multiple of 108,748 with GCF Formula

Least Common Multiple of 108,748 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 108,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(108,748) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(108,748) x common factors =4 x 1 = 4

LCM(108,748) = ( 108 × 748 ) / 4

LCM(108,748) = 80784 / 4

LCM(108,748) = 20196


Lets's calculate GCF of 562,759

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20196/1

Therefore the LCM of Fractions 108/562,748/759 is 20196

Greatest Common Factor of 562,759 By Matching Biggest Common Factor Method

Greatest Common Factor of 562,759 By Matching Biggest Common Factor Method

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Greatest Common Factor

We found the factors 562,759 . The biggest common factor number is the GCF number.
So the greatest common factor 562,759 is 1.


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 108/562, 748/759

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 108/562, 748/759?

Answer: LCM of Numerators as per given numbers 108/562, 748/759 is

LCM of Numerators i.e. for 108,748 is 20196

GCF of denominators i.e. for 562,759 is 1.

Thus, LCM of Fractions is 20196.Finally, LCM of Fractions for 108/562, 748/759 is 20196.