Least Common Multiple of 766/63, 117/2169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 766/63, 117/2169 quickly i.e. 9958 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 766/63, 117/2169 is 9958.

LCM(766/63, 117/2169) = 9958

LCM of 766/63, 117/2169

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 766/63,117/2169

Given numbers are 766/63,117/2169

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 766,117

Least Common Multiple of Numerators i.e. LCM of 766,117 is 89622.

GCF of Denominators means GCF of 63,2169 as per the given fractions.

GCF of 63,2169 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 766,117

LCM of Fractions 766/63,117/2169 is 9958

Given numbers has no common factors except 1. So, there LCM is their product i.e 89622

Least Common Multiple of 766,117 with GCF Formula

Least Common Multiple of 766,117 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 766,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(766,117) = 1

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

GCF(766,117) x common factors =1 x 1 = 1

LCM(766,117) = ( 766 × 117 ) / 1

LCM(766,117) = 89622 / 1

LCM(766,117) = 89622


Lets's calculate GCF of 63,2169

3 63, 2169
3 21, 723
7, 241

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89622/9

Therefore the LCM of Fractions 766/63,117/2169 is 9958

Greatest Common Factor of 63,2169 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,2169 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 2169

List of positive integer factors of 2169 that divides 2169 without a remainder.

1,3,9,241,723,2169

Greatest Common Factor

We found the factors 63,2169 . The biggest common factor number is the GCF number.
So the greatest common factor 63,2169 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 766/63, 117/2169

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 766/63, 117/2169?

Answer: LCM of Numerators as per given numbers 766/63, 117/2169 is

LCM of Numerators i.e. for 766,117 is 89622

GCF of denominators i.e. for 63,2169 is 9.

Thus, LCM of Fractions is 9958.Finally, LCM of Fractions for 766/63, 117/2169 is 9958.