Least Common Multiple of 243/96, 628/1980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 243/96, 628/1980 quickly i.e. 12717 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 243/96, 628/1980 is 12717.

LCM(243/96, 628/1980) = 12717

LCM of 243/96, 628/1980

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 243/96,628/1980

Given numbers are 243/96,628/1980

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 243,628

Least Common Multiple of Numerators i.e. LCM of 243,628 is 152604.

GCF of Denominators means GCF of 96,1980 as per the given fractions.

GCF of 96,1980 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 243,628

LCM of Fractions 243/96,628/1980 is 12717

Given numbers has no common factors except 1. So, there LCM is their product i.e 152604

Least Common Multiple of 243,628 with GCF Formula

Least Common Multiple of 243,628 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 243,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(243,628) = 1

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

GCF(243,628) x common factors =1 x 1 = 1

LCM(243,628) = ( 243 × 628 ) / 1

LCM(243,628) = 152604 / 1

LCM(243,628) = 152604


Lets's calculate GCF of 96,1980

2 96, 1980
2 48, 990
3 24, 495
8, 165

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 152604/12

Therefore the LCM of Fractions 243/96,628/1980 is 12717

Greatest Common Factor of 96,1980 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,1980 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 1980

List of positive integer factors of 1980 that divides 1980 without a remainder.

1,2,3,4,5,6,9,10,11,12,15,18,20,22,30,33,36,44,45,55,60,66,90,99,110,132,165,180,198,220,330,396,495,660,990,1980

Greatest Common Factor

We found the factors 96,1980 . The biggest common factor number is the GCF number.
So the greatest common factor 96,1980 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 243/96, 628/1980

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 243/96, 628/1980?

Answer: LCM of Numerators as per given numbers 243/96, 628/1980 is

LCM of Numerators i.e. for 243,628 is 152604

GCF of denominators i.e. for 96,1980 is 12.

Thus, LCM of Fractions is 12717.Finally, LCM of Fractions for 243/96, 628/1980 is 12717.