Least Common Multiple of 765/25, 834/69, 500/641

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 765/25, 834/69, 500/641 quickly i.e. 10633500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 765/25, 834/69, 500/641 is 10633500.

LCM(765/25, 834/69, 500/641) = 10633500

LCM of 765/25, 834/69, 500/641

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 765/25,834/69,500/641

Given numbers are 765/25,834/69,500/641

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 765,834,500

Least Common Multiple of Numerators i.e. LCM of 765,834,500 is 10633500.

GCF of Denominators means GCF of 25,69,641 as per the given fractions.

GCF of 25,69,641 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 765,834,500

LCM of Fractions 765/25,834/69,500/641 is 10633500

2 765, 834, 500
3 765, 417, 250
5 255, 139, 250
51, 139, 50

∴ So the LCM of the given numbers is 2 x 3 x 5 x 51 x 139 x 50 = 10633500

Least Common Multiple of 765,834,500 with GCF Formula

Least Common Multiple of 765,834,500 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 765,834,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(765,834,500) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(765,834,500) x common factors =1 x 30 = 30

LCM(765,834,500) = ( 765 × 834 × 500 ) / 30

LCM(765,834,500) = 319005000 / 30

LCM(765,834,500) = 10633500


Lets's calculate GCF of 25,69,641

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10633500/1

Therefore the LCM of Fractions 765/25,834/69,500/641 is 10633500

Greatest Common Factor of 25,69,641 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,69,641 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 641

List of positive integer factors of 641 that divides 641 without a remainder.

1,641

Greatest Common Factor

We found the factors 25,69,641 . The biggest common factor number is the GCF number.
So the greatest common factor 25,69,641 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 765/25, 834/69, 500/641

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 765/25, 834/69, 500/641?

Answer: LCM of Numerators as per given numbers 765/25, 834/69, 500/641 is

LCM of Numerators i.e. for 765,834,500 is 10633500

GCF of denominators i.e. for 25,69,641 is 1.

Thus, LCM of Fractions is 10633500.Finally, LCM of Fractions for 765/25, 834/69, 500/641 is 10633500.