Least Common Multiple of 765/191, 5400/7687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 765/191, 5400/7687 quickly i.e. 91800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 765/191, 5400/7687 is 91800.

LCM(765/191, 5400/7687) = 91800

LCM of 765/191, 5400/7687

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 765/191,5400/7687

Given numbers are 765/191,5400/7687

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 765,5400

Least Common Multiple of Numerators i.e. LCM of 765,5400 is 91800.

GCF of Denominators means GCF of 191,7687 as per the given fractions.

GCF of 191,7687 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 765,5400

LCM of Fractions 765/191,5400/7687 is 91800

3 765, 5400
3 255, 1800
5 85, 600
17, 120

∴ So the LCM of the given numbers is 3 x 3 x 5 x 17 x 120 = 91800

Least Common Multiple of 765,5400 with GCF Formula

Least Common Multiple of 765,5400 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 765,5400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(765,5400) = 45

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

GCF(765,5400) x common factors =45 x 1 = 45

LCM(765,5400) = ( 765 × 5400 ) / 45

LCM(765,5400) = 4131000 / 45

LCM(765,5400) = 91800


Lets's calculate GCF of 191,7687

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91800/1

Therefore the LCM of Fractions 765/191,5400/7687 is 91800

Greatest Common Factor of 191,7687 By Matching Biggest Common Factor Method

Greatest Common Factor of 191,7687 By Matching Biggest Common Factor Method

Factors of 191

List of positive integer factors of 191 that divides 191 without a remainder.

1,191

Factors of 7687

List of positive integer factors of 7687 that divides 7687 without a remainder.

1,7687

Greatest Common Factor

We found the factors 191,7687 . The biggest common factor number is the GCF number.
So the greatest common factor 191,7687 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 765/191, 5400/7687

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 765/191, 5400/7687?

Answer: LCM of Numerators as per given numbers 765/191, 5400/7687 is

LCM of Numerators i.e. for 765,5400 is 91800

GCF of denominators i.e. for 191,7687 is 1.

Thus, LCM of Fractions is 91800.Finally, LCM of Fractions for 765/191, 5400/7687 is 91800.