Least Common Multiple of 25/39, 405/42, 753/843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/39, 405/42, 753/843 quickly i.e. 169425 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/39, 405/42, 753/843 is 169425.

LCM(25/39, 405/42, 753/843) = 169425

LCM of 25/39, 405/42, 753/843

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 25/39,405/42,753/843

Given numbers are 25/39,405/42,753/843

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 25,405,753

Least Common Multiple of Numerators i.e. LCM of 25,405,753 is 508275.

GCF of Denominators means GCF of 39,42,843 as per the given fractions.

GCF of 39,42,843 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,405,753

LCM of Fractions 25/39,405/42,753/843 is 169425

3 25, 405, 753
5 25, 135, 251
5, 27, 251

∴ So the LCM of the given numbers is 3 x 5 x 5 x 27 x 251 = 508275

Least Common Multiple of 25,405,753 with GCF Formula

Least Common Multiple of 25,405,753 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 25,405,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,405,753) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(25,405,753) x common factors =1 x 15 = 15

LCM(25,405,753) = ( 25 × 405 × 753 ) / 15

LCM(25,405,753) = 7624125 / 15

LCM(25,405,753) = 508275


Lets's calculate GCF of 39,42,843

3 39, 42, 843
13, 14, 281

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 508275/3

Therefore the LCM of Fractions 25/39,405/42,753/843 is 169425

Greatest Common Factor of 39,42,843 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,42,843 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 843

List of positive integer factors of 843 that divides 843 without a remainder.

1,3,281,843

Greatest Common Factor

We found the factors 39,42,843 . The biggest common factor number is the GCF number.
So the greatest common factor 39,42,843 is 3.


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 25/39, 405/42, 753/843

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 25/39, 405/42, 753/843?

Answer: LCM of Numerators as per given numbers 25/39, 405/42, 753/843 is

LCM of Numerators i.e. for 25,405,753 is 508275

GCF of denominators i.e. for 39,42,843 is 3.

Thus, LCM of Fractions is 169425.Finally, LCM of Fractions for 25/39, 405/42, 753/843 is 169425.