Least Common Multiple of 2796/12, 1346/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2796/12, 1346/480 quickly i.e. 156809 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2796/12, 1346/480 is 156809.

LCM(2796/12, 1346/480) = 156809

LCM of 2796/12, 1346/480

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 2796/12,1346/480

Given numbers are 2796/12,1346/480

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 2796,1346

Least Common Multiple of Numerators i.e. LCM of 2796,1346 is 1881708.

GCF of Denominators means GCF of 12,480 as per the given fractions.

GCF of 12,480 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2796,1346

LCM of Fractions 2796/12,1346/480 is 156809

2 2796, 1346
1398, 673

∴ So the LCM of the given numbers is 2 x 1398 x 673 = 1881708

Least Common Multiple of 2796,1346 with GCF Formula

Least Common Multiple of 2796,1346 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 2796,1346 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2796,1346) = 2

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

GCF(2796,1346) x common factors =2 x 1 = 2

LCM(2796,1346) = ( 2796 × 1346 ) / 2

LCM(2796,1346) = 3763416 / 2

LCM(2796,1346) = 1881708


Lets's calculate GCF of 12,480

2 12, 480
2 6, 240
3 3, 120
1, 40

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1881708/12

Therefore the LCM of Fractions 2796/12,1346/480 is 156809

Greatest Common Factor of 12,480 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,480 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Greatest Common Factor

We found the factors 12,480 . The biggest common factor number is the GCF number.
So the greatest common factor 12,480 is 12.


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 2796/12, 1346/480

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 2796/12, 1346/480?

Answer: LCM of Numerators as per given numbers 2796/12, 1346/480 is

LCM of Numerators i.e. for 2796,1346 is 1881708

GCF of denominators i.e. for 12,480 is 12.

Thus, LCM of Fractions is 156809.Finally, LCM of Fractions for 2796/12, 1346/480 is 156809.