Least Common Multiple of 51/242, 93/805, 852/561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/242, 93/805, 852/561 quickly i.e. 449004 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/242, 93/805, 852/561 is 449004.

LCM(51/242, 93/805, 852/561) = 449004

LCM of 51/242, 93/805, 852/561

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 51/242,93/805,852/561

Given numbers are 51/242,93/805,852/561

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 51,93,852

Least Common Multiple of Numerators i.e. LCM of 51,93,852 is 449004.

GCF of Denominators means GCF of 242,805,561 as per the given fractions.

GCF of 242,805,561 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,93,852

LCM of Fractions 51/242,93/805,852/561 is 449004

3 51, 93, 852
17, 31, 284

∴ So the LCM of the given numbers is 3 x 17 x 31 x 284 = 449004

Least Common Multiple of 51,93,852 with GCF Formula

Least Common Multiple of 51,93,852 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 51,93,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,93,852) = 3

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

GCF(51,93,852) x common factors =3 x 3 = 9

LCM(51,93,852) = ( 51 × 93 × 852 ) / 9

LCM(51,93,852) = 4041036 / 9

LCM(51,93,852) = 449004


Lets's calculate GCF of 242,805,561

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 449004/1

Therefore the LCM of Fractions 51/242,93/805,852/561 is 449004

Greatest Common Factor of 242,805,561 By Matching Biggest Common Factor Method

Greatest Common Factor of 242,805,561 By Matching Biggest Common Factor Method

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Greatest Common Factor

We found the factors 242,805,561 . The biggest common factor number is the GCF number.
So the greatest common factor 242,805,561 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 51/242, 93/805, 852/561

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 51/242, 93/805, 852/561?

Answer: LCM of Numerators as per given numbers 51/242, 93/805, 852/561 is

LCM of Numerators i.e. for 51,93,852 is 449004

GCF of denominators i.e. for 242,805,561 is 1.

Thus, LCM of Fractions is 449004.Finally, LCM of Fractions for 51/242, 93/805, 852/561 is 449004.