Least Common Multiple of 77/605, 81/516, 756/189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/605, 81/516, 756/189 quickly i.e. 24948 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/605, 81/516, 756/189 is 24948.

LCM(77/605, 81/516, 756/189) = 24948

LCM of 77/605, 81/516, 756/189

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 77/605,81/516,756/189

Given numbers are 77/605,81/516,756/189

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 77,81,756

Least Common Multiple of Numerators i.e. LCM of 77,81,756 is 24948.

GCF of Denominators means GCF of 605,516,189 as per the given fractions.

GCF of 605,516,189 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,81,756

LCM of Fractions 77/605,81/516,756/189 is 24948

3 77, 81, 756
3 77, 27, 252
3 77, 9, 84
7 77, 3, 28
11, 3, 4

∴ So the LCM of the given numbers is 3 x 3 x 3 x 7 x 11 x 3 x 4 = 24948

Least Common Multiple of 77,81,756 with GCF Formula

Least Common Multiple of 77,81,756 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 77,81,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,81,756) = 1

common factors(in case of two or more numbers have common factors) = 189

GCF(77,81,756) x common factors =1 x 189 = 189

LCM(77,81,756) = ( 77 × 81 × 756 ) / 189

LCM(77,81,756) = 4715172 / 189

LCM(77,81,756) = 24948


Lets's calculate GCF of 605,516,189

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24948/1

Therefore the LCM of Fractions 77/605,81/516,756/189 is 24948

Greatest Common Factor of 605,516,189 By Matching Biggest Common Factor Method

Greatest Common Factor of 605,516,189 By Matching Biggest Common Factor Method

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Greatest Common Factor

We found the factors 605,516,189 . The biggest common factor number is the GCF number.
So the greatest common factor 605,516,189 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 77/605, 81/516, 756/189

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 77/605, 81/516, 756/189?

Answer: LCM of Numerators as per given numbers 77/605, 81/516, 756/189 is

LCM of Numerators i.e. for 77,81,756 is 24948

GCF of denominators i.e. for 605,516,189 is 1.

Thus, LCM of Fractions is 24948.Finally, LCM of Fractions for 77/605, 81/516, 756/189 is 24948.