Least Common Multiple of 64/209, 76/792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/209, 76/792 quickly i.e. 1216/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/209, 76/792 is 1216/11.

LCM(64/209, 76/792) = 1216/11

LCM of 64/209, 76/792

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 64/209,76/792

Given numbers are 64/209,76/792

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 64,76

Least Common Multiple of Numerators i.e. LCM of 64,76 is 1216.

GCF of Denominators means GCF of 209,792 as per the given fractions.

GCF of 209,792 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,76

LCM of Fractions 64/209,76/792 is 1216/11

2 64, 76
2 32, 38
16, 19

∴ So the LCM of the given numbers is 2 x 2 x 16 x 19 = 1216

Least Common Multiple of 64,76 with GCF Formula

Least Common Multiple of 64,76 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 64,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,76) = 4

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

GCF(64,76) x common factors =4 x 1 = 4

LCM(64,76) = ( 64 × 76 ) / 4

LCM(64,76) = 4864 / 4

LCM(64,76) = 1216


Lets's calculate GCF of 209,792

11 209, 792
19, 72

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1216/11

Therefore the LCM of Fractions 64/209,76/792 is 1216/11

Greatest Common Factor of 209,792 By Matching Biggest Common Factor Method

Greatest Common Factor of 209,792 By Matching Biggest Common Factor Method

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Greatest Common Factor

We found the factors 209,792 . The biggest common factor number is the GCF number.
So the greatest common factor 209,792 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 64/209, 76/792

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 64/209, 76/792?

Answer: LCM of Numerators as per given numbers 64/209, 76/792 is

LCM of Numerators i.e. for 64,76 is 1216

GCF of denominators i.e. for 209,792 is 11.

Thus, LCM of Fractions is 1216/11.Finally, LCM of Fractions for 64/209, 76/792 is 1216/11.