Least Common Multiple of 25/734, 33/169, 655/867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/734, 33/169, 655/867 quickly i.e. 108075 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/734, 33/169, 655/867 is 108075.

LCM(25/734, 33/169, 655/867) = 108075

LCM of 25/734, 33/169, 655/867

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 25/734,33/169,655/867

Given numbers are 25/734,33/169,655/867

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 25,33,655

Least Common Multiple of Numerators i.e. LCM of 25,33,655 is 108075.

GCF of Denominators means GCF of 734,169,867 as per the given fractions.

GCF of 734,169,867 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,33,655

LCM of Fractions 25/734,33/169,655/867 is 108075

5 25, 33, 655
5, 33, 131

∴ So the LCM of the given numbers is 5 x 5 x 33 x 131 = 108075

Least Common Multiple of 25,33,655 with GCF Formula

Least Common Multiple of 25,33,655 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 25,33,655 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,33,655) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(25,33,655) x common factors =1 x 5 = 5

LCM(25,33,655) = ( 25 × 33 × 655 ) / 5

LCM(25,33,655) = 540375 / 5

LCM(25,33,655) = 108075


Lets's calculate GCF of 734,169,867

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 108075/1

Therefore the LCM of Fractions 25/734,33/169,655/867 is 108075

Greatest Common Factor of 734,169,867 By Matching Biggest Common Factor Method

Greatest Common Factor of 734,169,867 By Matching Biggest Common Factor Method

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Greatest Common Factor

We found the factors 734,169,867 . The biggest common factor number is the GCF number.
So the greatest common factor 734,169,867 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 25/734, 33/169, 655/867

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 25/734, 33/169, 655/867?

Answer: LCM of Numerators as per given numbers 25/734, 33/169, 655/867 is

LCM of Numerators i.e. for 25,33,655 is 108075

GCF of denominators i.e. for 734,169,867 is 1.

Thus, LCM of Fractions is 108075.Finally, LCM of Fractions for 25/734, 33/169, 655/867 is 108075.