Least Common Multiple of 14/113, 64/779, 266/525

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/113, 64/779, 266/525 quickly i.e. 8512 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/113, 64/779, 266/525 is 8512.

LCM(14/113, 64/779, 266/525) = 8512

LCM of 14/113, 64/779, 266/525

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 14/113,64/779,266/525

Given numbers are 14/113,64/779,266/525

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 14,64,266

Least Common Multiple of Numerators i.e. LCM of 14,64,266 is 8512.

GCF of Denominators means GCF of 113,779,525 as per the given fractions.

GCF of 113,779,525 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,64,266

LCM of Fractions 14/113,64/779,266/525 is 8512

2 14, 64, 266
7 7, 32, 133
1, 32, 19

∴ So the LCM of the given numbers is 2 x 7 x 1 x 32 x 19 = 8512

Least Common Multiple of 14,64,266 with GCF Formula

Least Common Multiple of 14,64,266 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 14,64,266 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,64,266) = 2

common factors(in case of two or more numbers have common factors) = 14

GCF(14,64,266) x common factors =2 x 14 = 28

LCM(14,64,266) = ( 14 × 64 × 266 ) / 28

LCM(14,64,266) = 238336 / 28

LCM(14,64,266) = 8512


Lets's calculate GCF of 113,779,525

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8512/1

Therefore the LCM of Fractions 14/113,64/779,266/525 is 8512

Greatest Common Factor of 113,779,525 By Matching Biggest Common Factor Method

Greatest Common Factor of 113,779,525 By Matching Biggest Common Factor Method

Factors of 113

List of positive integer factors of 113 that divides 113 without a remainder.

1,113

Factors of 779

List of positive integer factors of 779 that divides 779 without a remainder.

1,19,41,779

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Greatest Common Factor

We found the factors 113,779,525 . The biggest common factor number is the GCF number.
So the greatest common factor 113,779,525 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 14/113, 64/779, 266/525

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 14/113, 64/779, 266/525?

Answer: LCM of Numerators as per given numbers 14/113, 64/779, 266/525 is

LCM of Numerators i.e. for 14,64,266 is 8512

GCF of denominators i.e. for 113,779,525 is 1.

Thus, LCM of Fractions is 8512.Finally, LCM of Fractions for 14/113, 64/779, 266/525 is 8512.