Least Common Multiple of 2565/915, 5263/140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2565/915, 5263/140 quickly i.e. 142101 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2565/915, 5263/140 is 142101.

LCM(2565/915, 5263/140) = 142101

LCM of 2565/915, 5263/140

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 2565/915,5263/140

Given numbers are 2565/915,5263/140

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 2565,5263

Least Common Multiple of Numerators i.e. LCM of 2565,5263 is 710505.

GCF of Denominators means GCF of 915,140 as per the given fractions.

GCF of 915,140 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2565,5263

LCM of Fractions 2565/915,5263/140 is 142101

19 2565, 5263
135, 277

∴ So the LCM of the given numbers is 19 x 135 x 277 = 710505

Least Common Multiple of 2565,5263 with GCF Formula

Least Common Multiple of 2565,5263 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 2565,5263 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2565,5263) = 19

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

GCF(2565,5263) x common factors =19 x 1 = 19

LCM(2565,5263) = ( 2565 × 5263 ) / 19

LCM(2565,5263) = 13499595 / 19

LCM(2565,5263) = 710505


Lets's calculate GCF of 915,140

5 915, 140
183, 28

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 710505/5

Therefore the LCM of Fractions 2565/915,5263/140 is 142101

Greatest Common Factor of 915,140 By Matching Biggest Common Factor Method

Greatest Common Factor of 915,140 By Matching Biggest Common Factor Method

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Greatest Common Factor

We found the factors 915,140 . The biggest common factor number is the GCF number.
So the greatest common factor 915,140 is 5.


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 2565/915, 5263/140

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 2565/915, 5263/140?

Answer: LCM of Numerators as per given numbers 2565/915, 5263/140 is

LCM of Numerators i.e. for 2565,5263 is 710505

GCF of denominators i.e. for 915,140 is 5.

Thus, LCM of Fractions is 142101.Finally, LCM of Fractions for 2565/915, 5263/140 is 142101.