Least Common Multiple of 1512/912, 1110/2709

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1512/912, 1110/2709 quickly i.e. 93240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1512/912, 1110/2709 is 93240.

LCM(1512/912, 1110/2709) = 93240

LCM of 1512/912, 1110/2709

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 1512/912,1110/2709

Given numbers are 1512/912,1110/2709

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 1512,1110

Least Common Multiple of Numerators i.e. LCM of 1512,1110 is 279720.

GCF of Denominators means GCF of 912,2709 as per the given fractions.

GCF of 912,2709 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1512,1110

LCM of Fractions 1512/912,1110/2709 is 93240

2 1512, 1110
3 756, 555
252, 185

∴ So the LCM of the given numbers is 2 x 3 x 252 x 185 = 279720

Least Common Multiple of 1512,1110 with GCF Formula

Least Common Multiple of 1512,1110 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 1512,1110 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1512,1110) = 6

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

GCF(1512,1110) x common factors =6 x 1 = 6

LCM(1512,1110) = ( 1512 × 1110 ) / 6

LCM(1512,1110) = 1678320 / 6

LCM(1512,1110) = 279720


Lets's calculate GCF of 912,2709

3 912, 2709
304, 903

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 279720/3

Therefore the LCM of Fractions 1512/912,1110/2709 is 93240

Greatest Common Factor of 912,2709 By Matching Biggest Common Factor Method

Greatest Common Factor of 912,2709 By Matching Biggest Common Factor Method

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Factors of 2709

List of positive integer factors of 2709 that divides 2709 without a remainder.

1,3,7,9,21,43,63,129,301,387,903,2709

Greatest Common Factor

We found the factors 912,2709 . The biggest common factor number is the GCF number.
So the greatest common factor 912,2709 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 1512/912, 1110/2709

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 1512/912, 1110/2709?

Answer: LCM of Numerators as per given numbers 1512/912, 1110/2709 is

LCM of Numerators i.e. for 1512,1110 is 279720

GCF of denominators i.e. for 912,2709 is 3.

Thus, LCM of Fractions is 93240.Finally, LCM of Fractions for 1512/912, 1110/2709 is 93240.