Least Common Multiple of 531/39, 969/22, 258/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 531/39, 969/22, 258/735 quickly i.e. 14750118 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 531/39, 969/22, 258/735 is 14750118.

LCM(531/39, 969/22, 258/735) = 14750118

LCM of 531/39, 969/22, 258/735

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 531/39,969/22,258/735

Given numbers are 531/39,969/22,258/735

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 531,969,258

Least Common Multiple of Numerators i.e. LCM of 531,969,258 is 14750118.

GCF of Denominators means GCF of 39,22,735 as per the given fractions.

GCF of 39,22,735 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 531,969,258

LCM of Fractions 531/39,969/22,258/735 is 14750118

3 531, 969, 258
177, 323, 86

∴ So the LCM of the given numbers is 3 x 177 x 323 x 86 = 14750118

Least Common Multiple of 531,969,258 with GCF Formula

Least Common Multiple of 531,969,258 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 531,969,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(531,969,258) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(531,969,258) x common factors =3 x 3 = 9

LCM(531,969,258) = ( 531 × 969 × 258 ) / 9

LCM(531,969,258) = 132751062 / 9

LCM(531,969,258) = 14750118


Lets's calculate GCF of 39,22,735

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14750118/1

Therefore the LCM of Fractions 531/39,969/22,258/735 is 14750118

Greatest Common Factor of 39,22,735 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,22,735 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Greatest Common Factor

We found the factors 39,22,735 . The biggest common factor number is the GCF number.
So the greatest common factor 39,22,735 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 531/39, 969/22, 258/735

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 531/39, 969/22, 258/735?

Answer: LCM of Numerators as per given numbers 531/39, 969/22, 258/735 is

LCM of Numerators i.e. for 531,969,258 is 14750118

GCF of denominators i.e. for 39,22,735 is 1.

Thus, LCM of Fractions is 14750118.Finally, LCM of Fractions for 531/39, 969/22, 258/735 is 14750118.