Least Common Multiple of 769/76, 284/8079

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 769/76, 284/8079 quickly i.e. 218396 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 769/76, 284/8079 is 218396.

LCM(769/76, 284/8079) = 218396

LCM of 769/76, 284/8079

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 769/76,284/8079

Given numbers are 769/76,284/8079

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 769,284

Least Common Multiple of Numerators i.e. LCM of 769,284 is 218396.

GCF of Denominators means GCF of 76,8079 as per the given fractions.

GCF of 76,8079 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 769,284

LCM of Fractions 769/76,284/8079 is 218396

Given numbers has no common factors except 1. So, there LCM is their product i.e 218396

Least Common Multiple of 769,284 with GCF Formula

Least Common Multiple of 769,284 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 769,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(769,284) = 1

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

GCF(769,284) x common factors =1 x 1 = 1

LCM(769,284) = ( 769 × 284 ) / 1

LCM(769,284) = 218396 / 1

LCM(769,284) = 218396


Lets's calculate GCF of 76,8079

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 218396/1

Therefore the LCM of Fractions 769/76,284/8079 is 218396

Greatest Common Factor of 76,8079 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,8079 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 8079

List of positive integer factors of 8079 that divides 8079 without a remainder.

1,3,2693,8079

Greatest Common Factor

We found the factors 76,8079 . The biggest common factor number is the GCF number.
So the greatest common factor 76,8079 is 1.


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 769/76, 284/8079

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 769/76, 284/8079?

Answer: LCM of Numerators as per given numbers 769/76, 284/8079 is

LCM of Numerators i.e. for 769,284 is 218396

GCF of denominators i.e. for 76,8079 is 1.

Thus, LCM of Fractions is 218396.Finally, LCM of Fractions for 769/76, 284/8079 is 218396.