Least Common Multiple of 25/164, 12/100, 722/828

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/164, 12/100, 722/828 quickly i.e. 27075 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/164, 12/100, 722/828 is 27075.

LCM(25/164, 12/100, 722/828) = 27075

LCM of 25/164, 12/100, 722/828

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 25/164,12/100,722/828

Given numbers are 25/164,12/100,722/828

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 25,12,722

Least Common Multiple of Numerators i.e. LCM of 25,12,722 is 108300.

GCF of Denominators means GCF of 164,100,828 as per the given fractions.

GCF of 164,100,828 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,12,722

LCM of Fractions 25/164,12/100,722/828 is 27075

2 25, 12, 722
25, 6, 361

∴ So the LCM of the given numbers is 2 x 25 x 6 x 361 = 108300

Least Common Multiple of 25,12,722 with GCF Formula

Least Common Multiple of 25,12,722 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 25,12,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,12,722) = 1

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

GCF(25,12,722) x common factors =1 x 2 = 2

LCM(25,12,722) = ( 25 × 12 × 722 ) / 2

LCM(25,12,722) = 216600 / 2

LCM(25,12,722) = 108300


Lets's calculate GCF of 164,100,828

2 164, 100, 828
2 82, 50, 414
41, 25, 207

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 108300/4

Therefore the LCM of Fractions 25/164,12/100,722/828 is 27075

Greatest Common Factor of 164,100,828 By Matching Biggest Common Factor Method

Greatest Common Factor of 164,100,828 By Matching Biggest Common Factor Method

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Greatest Common Factor

We found the factors 164,100,828 . The biggest common factor number is the GCF number.
So the greatest common factor 164,100,828 is 4.


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 25/164, 12/100, 722/828

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 25/164, 12/100, 722/828?

Answer: LCM of Numerators as per given numbers 25/164, 12/100, 722/828 is

LCM of Numerators i.e. for 25,12,722 is 108300

GCF of denominators i.e. for 164,100,828 is 4.

Thus, LCM of Fractions is 27075.Finally, LCM of Fractions for 25/164, 12/100, 722/828 is 27075.