Least Common Multiple of 726/42, 501/5565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 726/42, 501/5565 quickly i.e. 121242/21 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 726/42, 501/5565 is 121242/21.

LCM(726/42, 501/5565) = 121242/21

LCM of 726/42, 501/5565

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 726/42,501/5565

Given numbers are 726/42,501/5565

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 726,501

Least Common Multiple of Numerators i.e. LCM of 726,501 is 121242.

GCF of Denominators means GCF of 42,5565 as per the given fractions.

GCF of 42,5565 is 21 as it is the largest common factor for these numbers.

Lets's calculate LCM of 726,501

LCM of Fractions 726/42,501/5565 is 121242/21

3 726, 501
242, 167

∴ So the LCM of the given numbers is 3 x 242 x 167 = 121242

Least Common Multiple of 726,501 with GCF Formula

Least Common Multiple of 726,501 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 726,501 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(726,501) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(726,501) x common factors =3 x 1 = 3

LCM(726,501) = ( 726 × 501 ) / 3

LCM(726,501) = 363726 / 3

LCM(726,501) = 121242


Lets's calculate GCF of 42,5565

3 42, 5565
7 14, 1855
2, 265

∴ So the GCF of the given numbers is 3 x 7 = 21

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 121242/21

Therefore the LCM of Fractions 726/42,501/5565 is 121242/21

Greatest Common Factor of 42,5565 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,5565 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 5565

List of positive integer factors of 5565 that divides 5565 without a remainder.

1,3,5,7,15,21,35,53,105,159,265,371,795,1113,1855,5565

Greatest Common Factor

We found the factors 42,5565 . The biggest common factor number is the GCF number.
So the greatest common factor 42,5565 is 21.


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 726/42, 501/5565

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 726/42, 501/5565?

Answer: LCM of Numerators as per given numbers 726/42, 501/5565 is

LCM of Numerators i.e. for 726,501 is 121242

GCF of denominators i.e. for 42,5565 is 21.

Thus, LCM of Fractions is 121242/21.Finally, LCM of Fractions for 726/42, 501/5565 is 121242/21.