Least Common Multiple of 52/10, 33/87, 649/90

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/10, 33/87, 649/90 quickly i.e. 101244 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/10, 33/87, 649/90 is 101244.

LCM(52/10, 33/87, 649/90) = 101244

LCM of 52/10, 33/87, 649/90

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 52/10,33/87,649/90

Given numbers are 52/10,33/87,649/90

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 52,33,649

Least Common Multiple of Numerators i.e. LCM of 52,33,649 is 101244.

GCF of Denominators means GCF of 10,87,90 as per the given fractions.

GCF of 10,87,90 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,33,649

LCM of Fractions 52/10,33/87,649/90 is 101244

11 52, 33, 649
52, 3, 59

∴ So the LCM of the given numbers is 11 x 52 x 3 x 59 = 101244

Least Common Multiple of 52,33,649 with GCF Formula

Least Common Multiple of 52,33,649 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 52,33,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,33,649) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(52,33,649) x common factors =1 x 11 = 11

LCM(52,33,649) = ( 52 × 33 × 649 ) / 11

LCM(52,33,649) = 1113684 / 11

LCM(52,33,649) = 101244


Lets's calculate GCF of 10,87,90

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101244/1

Therefore the LCM of Fractions 52/10,33/87,649/90 is 101244

Greatest Common Factor of 10,87,90 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,87,90 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Greatest Common Factor

We found the factors 10,87,90 . The biggest common factor number is the GCF number.
So the greatest common factor 10,87,90 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 52/10, 33/87, 649/90

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 52/10, 33/87, 649/90?

Answer: LCM of Numerators as per given numbers 52/10, 33/87, 649/90 is

LCM of Numerators i.e. for 52,33,649 is 101244

GCF of denominators i.e. for 10,87,90 is 1.

Thus, LCM of Fractions is 101244.Finally, LCM of Fractions for 52/10, 33/87, 649/90 is 101244.