Least Common Multiple of 20/762, 7279/6963

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/762, 7279/6963 quickly i.e. 145580/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/762, 7279/6963 is 145580/3.

LCM(20/762, 7279/6963) = 145580/3

LCM of 20/762, 7279/6963

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 20/762,7279/6963

Given numbers are 20/762,7279/6963

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 20,7279

Least Common Multiple of Numerators i.e. LCM of 20,7279 is 145580.

GCF of Denominators means GCF of 762,6963 as per the given fractions.

GCF of 762,6963 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,7279

LCM of Fractions 20/762,7279/6963 is 145580/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 145580

Least Common Multiple of 20,7279 with GCF Formula

Least Common Multiple of 20,7279 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 20,7279 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,7279) = 1

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

GCF(20,7279) x common factors =1 x 1 = 1

LCM(20,7279) = ( 20 × 7279 ) / 1

LCM(20,7279) = 145580 / 1

LCM(20,7279) = 145580


Lets's calculate GCF of 762,6963

3 762, 6963
254, 2321

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 145580/3

Therefore the LCM of Fractions 20/762,7279/6963 is 145580/3

Greatest Common Factor of 762,6963 By Matching Biggest Common Factor Method

Greatest Common Factor of 762,6963 By Matching Biggest Common Factor Method

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Factors of 6963

List of positive integer factors of 6963 that divides 6963 without a remainder.

1,3,11,33,211,633,2321,6963

Greatest Common Factor

We found the factors 762,6963 . The biggest common factor number is the GCF number.
So the greatest common factor 762,6963 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 20/762, 7279/6963

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 20/762, 7279/6963?

Answer: LCM of Numerators as per given numbers 20/762, 7279/6963 is

LCM of Numerators i.e. for 20,7279 is 145580

GCF of denominators i.e. for 762,6963 is 3.

Thus, LCM of Fractions is 145580/3.Finally, LCM of Fractions for 20/762, 7279/6963 is 145580/3.