Least Common Multiple of 825/27, 297/7171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 825/27, 297/7171 quickly i.e. 7425 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 825/27, 297/7171 is 7425.

LCM(825/27, 297/7171) = 7425

LCM of 825/27, 297/7171

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 825/27,297/7171

Given numbers are 825/27,297/7171

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 825,297

Least Common Multiple of Numerators i.e. LCM of 825,297 is 7425.

GCF of Denominators means GCF of 27,7171 as per the given fractions.

GCF of 27,7171 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 825,297

LCM of Fractions 825/27,297/7171 is 7425

3 825, 297
11 275, 99
25, 9

∴ So the LCM of the given numbers is 3 x 11 x 25 x 9 = 7425

Least Common Multiple of 825,297 with GCF Formula

Least Common Multiple of 825,297 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 825,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(825,297) = 33

common factors(in case of two or more numbers have common factors) = 1

GCF(825,297) x common factors =33 x 1 = 33

LCM(825,297) = ( 825 × 297 ) / 33

LCM(825,297) = 245025 / 33

LCM(825,297) = 7425


Lets's calculate GCF of 27,7171

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7425/1

Therefore the LCM of Fractions 825/27,297/7171 is 7425

Greatest Common Factor of 27,7171 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,7171 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 7171

List of positive integer factors of 7171 that divides 7171 without a remainder.

1,71,101,7171

Greatest Common Factor

We found the factors 27,7171 . The biggest common factor number is the GCF number.
So the greatest common factor 27,7171 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 825/27, 297/7171

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 825/27, 297/7171?

Answer: LCM of Numerators as per given numbers 825/27, 297/7171 is

LCM of Numerators i.e. for 825,297 is 7425

GCF of denominators i.e. for 27,7171 is 1.

Thus, LCM of Fractions is 7425.Finally, LCM of Fractions for 825/27, 297/7171 is 7425.