Least Common Multiple of 720/44, 965/7821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 720/44, 965/7821 quickly i.e. 138960/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 720/44, 965/7821 is 138960/11.

LCM(720/44, 965/7821) = 138960/11

LCM of 720/44, 965/7821

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 720/44,965/7821

Given numbers are 720/44,965/7821

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 720,965

Least Common Multiple of Numerators i.e. LCM of 720,965 is 138960.

GCF of Denominators means GCF of 44,7821 as per the given fractions.

GCF of 44,7821 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 720,965

LCM of Fractions 720/44,965/7821 is 138960/11

5 720, 965
144, 193

∴ So the LCM of the given numbers is 5 x 144 x 193 = 138960

Least Common Multiple of 720,965 with GCF Formula

Least Common Multiple of 720,965 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 720,965 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(720,965) = 5

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

GCF(720,965) x common factors =5 x 1 = 5

LCM(720,965) = ( 720 × 965 ) / 5

LCM(720,965) = 694800 / 5

LCM(720,965) = 138960


Lets's calculate GCF of 44,7821

11 44, 7821
4, 711

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 138960/11

Therefore the LCM of Fractions 720/44,965/7821 is 138960/11

Greatest Common Factor of 44,7821 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,7821 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 7821

List of positive integer factors of 7821 that divides 7821 without a remainder.

1,3,9,11,33,79,99,237,711,869,2607,7821

Greatest Common Factor

We found the factors 44,7821 . The biggest common factor number is the GCF number.
So the greatest common factor 44,7821 is 11.


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 720/44, 965/7821

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 720/44, 965/7821?

Answer: LCM of Numerators as per given numbers 720/44, 965/7821 is

LCM of Numerators i.e. for 720,965 is 138960

GCF of denominators i.e. for 44,7821 is 11.

Thus, LCM of Fractions is 138960/11.Finally, LCM of Fractions for 720/44, 965/7821 is 138960/11.