Least Common Multiple of 26/360, 63/653, 749/903

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/360, 63/653, 749/903 quickly i.e. 175266 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/360, 63/653, 749/903 is 175266.

LCM(26/360, 63/653, 749/903) = 175266

LCM of 26/360, 63/653, 749/903

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 26/360,63/653,749/903

Given numbers are 26/360,63/653,749/903

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 26,63,749

Least Common Multiple of Numerators i.e. LCM of 26,63,749 is 175266.

GCF of Denominators means GCF of 360,653,903 as per the given fractions.

GCF of 360,653,903 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,63,749

LCM of Fractions 26/360,63/653,749/903 is 175266

7 26, 63, 749
26, 9, 107

∴ So the LCM of the given numbers is 7 x 26 x 9 x 107 = 175266

Least Common Multiple of 26,63,749 with GCF Formula

Least Common Multiple of 26,63,749 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 26,63,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,63,749) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(26,63,749) x common factors =1 x 7 = 7

LCM(26,63,749) = ( 26 × 63 × 749 ) / 7

LCM(26,63,749) = 1226862 / 7

LCM(26,63,749) = 175266


Lets's calculate GCF of 360,653,903

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 175266/1

Therefore the LCM of Fractions 26/360,63/653,749/903 is 175266

Greatest Common Factor of 360,653,903 By Matching Biggest Common Factor Method

Greatest Common Factor of 360,653,903 By Matching Biggest Common Factor Method

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1,653

Factors of 903

List of positive integer factors of 903 that divides 903 without a remainder.

1,3,7,21,43,129,301,903

Greatest Common Factor

We found the factors 360,653,903 . The biggest common factor number is the GCF number.
So the greatest common factor 360,653,903 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 26/360, 63/653, 749/903

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 26/360, 63/653, 749/903?

Answer: LCM of Numerators as per given numbers 26/360, 63/653, 749/903 is

LCM of Numerators i.e. for 26,63,749 is 175266

GCF of denominators i.e. for 360,653,903 is 1.

Thus, LCM of Fractions is 175266.Finally, LCM of Fractions for 26/360, 63/653, 749/903 is 175266.