Least Common Multiple of 261/78, 725/65, 405/358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 261/78, 725/65, 405/358 quickly i.e. 58725 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 261/78, 725/65, 405/358 is 58725.

LCM(261/78, 725/65, 405/358) = 58725

LCM of 261/78, 725/65, 405/358

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 261/78,725/65,405/358

Given numbers are 261/78,725/65,405/358

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 261,725,405

Least Common Multiple of Numerators i.e. LCM of 261,725,405 is 58725.

GCF of Denominators means GCF of 78,65,358 as per the given fractions.

GCF of 78,65,358 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 261,725,405

LCM of Fractions 261/78,725/65,405/358 is 58725

3 261, 725, 405
3 87, 725, 135
5 29, 725, 45
29 29, 145, 9
1, 5, 9

∴ So the LCM of the given numbers is 3 x 3 x 5 x 29 x 1 x 5 x 9 = 58725

Least Common Multiple of 261,725,405 with GCF Formula

Least Common Multiple of 261,725,405 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 261,725,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(261,725,405) = 1

common factors(in case of two or more numbers have common factors) = 1305

GCF(261,725,405) x common factors =1 x 1305 = 1305

LCM(261,725,405) = ( 261 × 725 × 405 ) / 1305

LCM(261,725,405) = 76636125 / 1305

LCM(261,725,405) = 58725


Lets's calculate GCF of 78,65,358

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58725/1

Therefore the LCM of Fractions 261/78,725/65,405/358 is 58725

Greatest Common Factor of 78,65,358 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,65,358 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Greatest Common Factor

We found the factors 78,65,358 . The biggest common factor number is the GCF number.
So the greatest common factor 78,65,358 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 261/78, 725/65, 405/358

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 261/78, 725/65, 405/358?

Answer: LCM of Numerators as per given numbers 261/78, 725/65, 405/358 is

LCM of Numerators i.e. for 261,725,405 is 58725

GCF of denominators i.e. for 78,65,358 is 1.

Thus, LCM of Fractions is 58725.Finally, LCM of Fractions for 261/78, 725/65, 405/358 is 58725.