Least Common Multiple of 192/972, 298/542, 905/260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 192/972, 298/542, 905/260 quickly i.e. 12945120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 192/972, 298/542, 905/260 is 12945120.

LCM(192/972, 298/542, 905/260) = 12945120

LCM of 192/972, 298/542, 905/260

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 192/972,298/542,905/260

Given numbers are 192/972,298/542,905/260

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 192,298,905

Least Common Multiple of Numerators i.e. LCM of 192,298,905 is 25890240.

GCF of Denominators means GCF of 972,542,260 as per the given fractions.

GCF of 972,542,260 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 192,298,905

LCM of Fractions 192/972,298/542,905/260 is 12945120

2 192, 298, 905
96, 149, 905

∴ So the LCM of the given numbers is 2 x 96 x 149 x 905 = 25890240

Least Common Multiple of 192,298,905 with GCF Formula

Least Common Multiple of 192,298,905 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 192,298,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(192,298,905) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(192,298,905) x common factors =1 x 2 = 2

LCM(192,298,905) = ( 192 × 298 × 905 ) / 2

LCM(192,298,905) = 51780480 / 2

LCM(192,298,905) = 25890240


Lets's calculate GCF of 972,542,260

2 972, 542, 260
486, 271, 130

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25890240/2

Therefore the LCM of Fractions 192/972,298/542,905/260 is 12945120

Greatest Common Factor of 972,542,260 By Matching Biggest Common Factor Method

Greatest Common Factor of 972,542,260 By Matching Biggest Common Factor Method

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Greatest Common Factor

We found the factors 972,542,260 . The biggest common factor number is the GCF number.
So the greatest common factor 972,542,260 is 2.


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 192/972, 298/542, 905/260

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 192/972, 298/542, 905/260?

Answer: LCM of Numerators as per given numbers 192/972, 298/542, 905/260 is

LCM of Numerators i.e. for 192,298,905 is 25890240

GCF of denominators i.e. for 972,542,260 is 2.

Thus, LCM of Fractions is 12945120.Finally, LCM of Fractions for 192/972, 298/542, 905/260 is 12945120.