Least Common Multiple of 9711/234, 5388/4040

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9711/234, 5388/4040 quickly i.e. 8720478 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9711/234, 5388/4040 is 8720478.

LCM(9711/234, 5388/4040) = 8720478

LCM of 9711/234, 5388/4040

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 9711/234,5388/4040

Given numbers are 9711/234,5388/4040

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 9711,5388

Least Common Multiple of Numerators i.e. LCM of 9711,5388 is 17440956.

GCF of Denominators means GCF of 234,4040 as per the given fractions.

GCF of 234,4040 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9711,5388

LCM of Fractions 9711/234,5388/4040 is 8720478

3 9711, 5388
3237, 1796

∴ So the LCM of the given numbers is 3 x 3237 x 1796 = 17440956

Least Common Multiple of 9711,5388 with GCF Formula

Least Common Multiple of 9711,5388 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 9711,5388 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9711,5388) = 3

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

GCF(9711,5388) x common factors =3 x 1 = 3

LCM(9711,5388) = ( 9711 × 5388 ) / 3

LCM(9711,5388) = 52322868 / 3

LCM(9711,5388) = 17440956


Lets's calculate GCF of 234,4040

2 234, 4040
117, 2020

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17440956/2

Therefore the LCM of Fractions 9711/234,5388/4040 is 8720478

Greatest Common Factor of 234,4040 By Matching Biggest Common Factor Method

Greatest Common Factor of 234,4040 By Matching Biggest Common Factor Method

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Factors of 4040

List of positive integer factors of 4040 that divides 4040 without a remainder.

1,2,4,5,8,10,20,40,101,202,404,505,808,1010,2020,4040

Greatest Common Factor

We found the factors 234,4040 . The biggest common factor number is the GCF number.
So the greatest common factor 234,4040 is 2.


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 9711/234, 5388/4040

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 9711/234, 5388/4040?

Answer: LCM of Numerators as per given numbers 9711/234, 5388/4040 is

LCM of Numerators i.e. for 9711,5388 is 17440956

GCF of denominators i.e. for 234,4040 is 2.

Thus, LCM of Fractions is 8720478.Finally, LCM of Fractions for 9711/234, 5388/4040 is 8720478.