Least Common Multiple of 126/753, 9960/2718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 126/753, 9960/2718 quickly i.e. 69720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 126/753, 9960/2718 is 69720.

LCM(126/753, 9960/2718) = 69720

LCM of 126/753, 9960/2718

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 126/753,9960/2718

Given numbers are 126/753,9960/2718

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 126,9960

Least Common Multiple of Numerators i.e. LCM of 126,9960 is 209160.

GCF of Denominators means GCF of 753,2718 as per the given fractions.

GCF of 753,2718 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 126,9960

LCM of Fractions 126/753,9960/2718 is 69720

2 126, 9960
3 63, 4980
21, 1660

∴ So the LCM of the given numbers is 2 x 3 x 21 x 1660 = 209160

Least Common Multiple of 126,9960 with GCF Formula

Least Common Multiple of 126,9960 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 126,9960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(126,9960) = 6

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

GCF(126,9960) x common factors =6 x 1 = 6

LCM(126,9960) = ( 126 × 9960 ) / 6

LCM(126,9960) = 1254960 / 6

LCM(126,9960) = 209160


Lets's calculate GCF of 753,2718

3 753, 2718
251, 906

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 209160/3

Therefore the LCM of Fractions 126/753,9960/2718 is 69720

Greatest Common Factor of 753,2718 By Matching Biggest Common Factor Method

Greatest Common Factor of 753,2718 By Matching Biggest Common Factor Method

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Factors of 2718

List of positive integer factors of 2718 that divides 2718 without a remainder.

1,2,3,6,9,18,151,302,453,906,1359,2718

Greatest Common Factor

We found the factors 753,2718 . The biggest common factor number is the GCF number.
So the greatest common factor 753,2718 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 126/753, 9960/2718

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 126/753, 9960/2718?

Answer: LCM of Numerators as per given numbers 126/753, 9960/2718 is

LCM of Numerators i.e. for 126,9960 is 209160

GCF of denominators i.e. for 753,2718 is 3.

Thus, LCM of Fractions is 69720.Finally, LCM of Fractions for 126/753, 9960/2718 is 69720.