Least Common Multiple of 11/264, 531/826, 413/275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/264, 531/826, 413/275 quickly i.e. 40887 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/264, 531/826, 413/275 is 40887.

LCM(11/264, 531/826, 413/275) = 40887

LCM of 11/264, 531/826, 413/275

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 11/264,531/826,413/275

Given numbers are 11/264,531/826,413/275

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 11,531,413

Least Common Multiple of Numerators i.e. LCM of 11,531,413 is 40887.

GCF of Denominators means GCF of 264,826,275 as per the given fractions.

GCF of 264,826,275 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,531,413

LCM of Fractions 11/264,531/826,413/275 is 40887

59 11, 531, 413
11, 9, 7

∴ So the LCM of the given numbers is 59 x 11 x 9 x 7 = 40887

Least Common Multiple of 11,531,413 with GCF Formula

Least Common Multiple of 11,531,413 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 11,531,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,531,413) = 1

common factors(in case of two or more numbers have common factors) = 59

GCF(11,531,413) x common factors =1 x 59 = 59

LCM(11,531,413) = ( 11 × 531 × 413 ) / 59

LCM(11,531,413) = 2412333 / 59

LCM(11,531,413) = 40887


Lets's calculate GCF of 264,826,275

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40887/1

Therefore the LCM of Fractions 11/264,531/826,413/275 is 40887

Greatest Common Factor of 264,826,275 By Matching Biggest Common Factor Method

Greatest Common Factor of 264,826,275 By Matching Biggest Common Factor Method

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Greatest Common Factor

We found the factors 264,826,275 . The biggest common factor number is the GCF number.
So the greatest common factor 264,826,275 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 11/264, 531/826, 413/275

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 11/264, 531/826, 413/275?

Answer: LCM of Numerators as per given numbers 11/264, 531/826, 413/275 is

LCM of Numerators i.e. for 11,531,413 is 40887

GCF of denominators i.e. for 264,826,275 is 1.

Thus, LCM of Fractions is 40887.Finally, LCM of Fractions for 11/264, 531/826, 413/275 is 40887.