Least Common Multiple of 769/618, 756/865, 388/602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 769/618, 756/865, 388/602 quickly i.e. 56392308 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 769/618, 756/865, 388/602 is 56392308.

LCM(769/618, 756/865, 388/602) = 56392308

LCM of 769/618, 756/865, 388/602

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 769/618,756/865,388/602

Given numbers are 769/618,756/865,388/602

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 769,756,388

Least Common Multiple of Numerators i.e. LCM of 769,756,388 is 56392308.

GCF of Denominators means GCF of 618,865,602 as per the given fractions.

GCF of 618,865,602 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 769,756,388

LCM of Fractions 769/618,756/865,388/602 is 56392308

2 769, 756, 388
2 769, 378, 194
769, 189, 97

∴ So the LCM of the given numbers is 2 x 2 x 769 x 189 x 97 = 56392308

Least Common Multiple of 769,756,388 with GCF Formula

Least Common Multiple of 769,756,388 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 769,756,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(769,756,388) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(769,756,388) x common factors =1 x 4 = 4

LCM(769,756,388) = ( 769 × 756 × 388 ) / 4

LCM(769,756,388) = 225569232 / 4

LCM(769,756,388) = 56392308


Lets's calculate GCF of 618,865,602

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56392308/1

Therefore the LCM of Fractions 769/618,756/865,388/602 is 56392308

Greatest Common Factor of 618,865,602 By Matching Biggest Common Factor Method

Greatest Common Factor of 618,865,602 By Matching Biggest Common Factor Method

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Factors of 865

List of positive integer factors of 865 that divides 865 without a remainder.

1,5,173,865

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Greatest Common Factor

We found the factors 618,865,602 . The biggest common factor number is the GCF number.
So the greatest common factor 618,865,602 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 769/618, 756/865, 388/602

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 769/618, 756/865, 388/602?

Answer: LCM of Numerators as per given numbers 769/618, 756/865, 388/602 is

LCM of Numerators i.e. for 769,756,388 is 56392308

GCF of denominators i.e. for 618,865,602 is 1.

Thus, LCM of Fractions is 56392308.Finally, LCM of Fractions for 769/618, 756/865, 388/602 is 56392308.