Least Common Multiple of 69/711, 1215/1980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/711, 1215/1980 quickly i.e. 3105 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/711, 1215/1980 is 3105.

LCM(69/711, 1215/1980) = 3105

LCM of 69/711, 1215/1980

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 69/711,1215/1980

Given numbers are 69/711,1215/1980

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 69,1215

Least Common Multiple of Numerators i.e. LCM of 69,1215 is 27945.

GCF of Denominators means GCF of 711,1980 as per the given fractions.

GCF of 711,1980 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,1215

LCM of Fractions 69/711,1215/1980 is 3105

3 69, 1215
23, 405

∴ So the LCM of the given numbers is 3 x 23 x 405 = 27945

Least Common Multiple of 69,1215 with GCF Formula

Least Common Multiple of 69,1215 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 69,1215 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,1215) = 3

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

GCF(69,1215) x common factors =3 x 1 = 3

LCM(69,1215) = ( 69 × 1215 ) / 3

LCM(69,1215) = 83835 / 3

LCM(69,1215) = 27945


Lets's calculate GCF of 711,1980

3 711, 1980
3 237, 660
79, 220

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27945/9

Therefore the LCM of Fractions 69/711,1215/1980 is 3105

Greatest Common Factor of 711,1980 By Matching Biggest Common Factor Method

Greatest Common Factor of 711,1980 By Matching Biggest Common Factor Method

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

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 711,1980 . The biggest common factor number is the GCF number.
So the greatest common factor 711,1980 is 9.


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 69/711, 1215/1980

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 69/711, 1215/1980?

Answer: LCM of Numerators as per given numbers 69/711, 1215/1980 is

LCM of Numerators i.e. for 69,1215 is 27945

GCF of denominators i.e. for 711,1980 is 9.

Thus, LCM of Fractions is 3105.Finally, LCM of Fractions for 69/711, 1215/1980 is 3105.