Least Common Multiple of 32/873, 25/197, 274/902

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/873, 25/197, 274/902 quickly i.e. 109600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/873, 25/197, 274/902 is 109600.

LCM(32/873, 25/197, 274/902) = 109600

LCM of 32/873, 25/197, 274/902

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 32/873,25/197,274/902

Given numbers are 32/873,25/197,274/902

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 32,25,274

Least Common Multiple of Numerators i.e. LCM of 32,25,274 is 109600.

GCF of Denominators means GCF of 873,197,902 as per the given fractions.

GCF of 873,197,902 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,25,274

LCM of Fractions 32/873,25/197,274/902 is 109600

2 32, 25, 274
16, 25, 137

∴ So the LCM of the given numbers is 2 x 16 x 25 x 137 = 109600

Least Common Multiple of 32,25,274 with GCF Formula

Least Common Multiple of 32,25,274 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 32,25,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,25,274) = 1

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

GCF(32,25,274) x common factors =1 x 2 = 2

LCM(32,25,274) = ( 32 × 25 × 274 ) / 2

LCM(32,25,274) = 219200 / 2

LCM(32,25,274) = 109600


Lets's calculate GCF of 873,197,902

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109600/1

Therefore the LCM of Fractions 32/873,25/197,274/902 is 109600

Greatest Common Factor of 873,197,902 By Matching Biggest Common Factor Method

Greatest Common Factor of 873,197,902 By Matching Biggest Common Factor Method

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Factors of 197

List of positive integer factors of 197 that divides 197 without a remainder.

1,197

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Greatest Common Factor

We found the factors 873,197,902 . The biggest common factor number is the GCF number.
So the greatest common factor 873,197,902 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 32/873, 25/197, 274/902

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 32/873, 25/197, 274/902?

Answer: LCM of Numerators as per given numbers 32/873, 25/197, 274/902 is

LCM of Numerators i.e. for 32,25,274 is 109600

GCF of denominators i.e. for 873,197,902 is 1.

Thus, LCM of Fractions is 109600.Finally, LCM of Fractions for 32/873, 25/197, 274/902 is 109600.