Least Common Multiple of 15/52, 21/971, 933/958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/52, 21/971, 933/958 quickly i.e. 32655 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/52, 21/971, 933/958 is 32655.

LCM(15/52, 21/971, 933/958) = 32655

LCM of 15/52, 21/971, 933/958

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 15/52,21/971,933/958

Given numbers are 15/52,21/971,933/958

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 15,21,933

Least Common Multiple of Numerators i.e. LCM of 15,21,933 is 32655.

GCF of Denominators means GCF of 52,971,958 as per the given fractions.

GCF of 52,971,958 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,21,933

LCM of Fractions 15/52,21/971,933/958 is 32655

3 15, 21, 933
5, 7, 311

∴ So the LCM of the given numbers is 3 x 5 x 7 x 311 = 32655

Least Common Multiple of 15,21,933 with GCF Formula

Least Common Multiple of 15,21,933 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 15,21,933 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,21,933) = 3

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

GCF(15,21,933) x common factors =3 x 3 = 9

LCM(15,21,933) = ( 15 × 21 × 933 ) / 9

LCM(15,21,933) = 293895 / 9

LCM(15,21,933) = 32655


Lets's calculate GCF of 52,971,958

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32655/1

Therefore the LCM of Fractions 15/52,21/971,933/958 is 32655

Greatest Common Factor of 52,971,958 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,971,958 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Greatest Common Factor

We found the factors 52,971,958 . The biggest common factor number is the GCF number.
So the greatest common factor 52,971,958 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 15/52, 21/971, 933/958

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 15/52, 21/971, 933/958?

Answer: LCM of Numerators as per given numbers 15/52, 21/971, 933/958 is

LCM of Numerators i.e. for 15,21,933 is 32655

GCF of denominators i.e. for 52,971,958 is 1.

Thus, LCM of Fractions is 32655.Finally, LCM of Fractions for 15/52, 21/971, 933/958 is 32655.