Least Common Multiple of 5387/501, 2121/7668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5387/501, 2121/7668 quickly i.e. 3808609 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5387/501, 2121/7668 is 3808609.

LCM(5387/501, 2121/7668) = 3808609

LCM of 5387/501, 2121/7668

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 5387/501,2121/7668

Given numbers are 5387/501,2121/7668

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 5387,2121

Least Common Multiple of Numerators i.e. LCM of 5387,2121 is 11425827.

GCF of Denominators means GCF of 501,7668 as per the given fractions.

GCF of 501,7668 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5387,2121

LCM of Fractions 5387/501,2121/7668 is 3808609

Given numbers has no common factors except 1. So, there LCM is their product i.e 11425827

Least Common Multiple of 5387,2121 with GCF Formula

Least Common Multiple of 5387,2121 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 5387,2121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5387,2121) = 1

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

GCF(5387,2121) x common factors =1 x 1 = 1

LCM(5387,2121) = ( 5387 × 2121 ) / 1

LCM(5387,2121) = 11425827 / 1

LCM(5387,2121) = 11425827


Lets's calculate GCF of 501,7668

3 501, 7668
167, 2556

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11425827/3

Therefore the LCM of Fractions 5387/501,2121/7668 is 3808609

Greatest Common Factor of 501,7668 By Matching Biggest Common Factor Method

Greatest Common Factor of 501,7668 By Matching Biggest Common Factor Method

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Factors of 7668

List of positive integer factors of 7668 that divides 7668 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,71,108,142,213,284,426,639,852,1278,1917,2556,3834,7668

Greatest Common Factor

We found the factors 501,7668 . The biggest common factor number is the GCF number.
So the greatest common factor 501,7668 is 3.


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 5387/501, 2121/7668

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 5387/501, 2121/7668?

Answer: LCM of Numerators as per given numbers 5387/501, 2121/7668 is

LCM of Numerators i.e. for 5387,2121 is 11425827

GCF of denominators i.e. for 501,7668 is 3.

Thus, LCM of Fractions is 3808609.Finally, LCM of Fractions for 5387/501, 2121/7668 is 3808609.