Least Common Multiple of 59/327, 651/225, 174/497

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/327, 651/225, 174/497 quickly i.e. 2227722 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/327, 651/225, 174/497 is 2227722.

LCM(59/327, 651/225, 174/497) = 2227722

LCM of 59/327, 651/225, 174/497

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 59/327,651/225,174/497

Given numbers are 59/327,651/225,174/497

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 59,651,174

Least Common Multiple of Numerators i.e. LCM of 59,651,174 is 2227722.

GCF of Denominators means GCF of 327,225,497 as per the given fractions.

GCF of 327,225,497 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,651,174

LCM of Fractions 59/327,651/225,174/497 is 2227722

3 59, 651, 174
59, 217, 58

∴ So the LCM of the given numbers is 3 x 59 x 217 x 58 = 2227722

Least Common Multiple of 59,651,174 with GCF Formula

Least Common Multiple of 59,651,174 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 59,651,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,651,174) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(59,651,174) x common factors =1 x 3 = 3

LCM(59,651,174) = ( 59 × 651 × 174 ) / 3

LCM(59,651,174) = 6683166 / 3

LCM(59,651,174) = 2227722


Lets's calculate GCF of 327,225,497

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2227722/1

Therefore the LCM of Fractions 59/327,651/225,174/497 is 2227722

Greatest Common Factor of 327,225,497 By Matching Biggest Common Factor Method

Greatest Common Factor of 327,225,497 By Matching Biggest Common Factor Method

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Factors of 497

List of positive integer factors of 497 that divides 497 without a remainder.

1,7,71,497

Greatest Common Factor

We found the factors 327,225,497 . The biggest common factor number is the GCF number.
So the greatest common factor 327,225,497 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 59/327, 651/225, 174/497

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 59/327, 651/225, 174/497?

Answer: LCM of Numerators as per given numbers 59/327, 651/225, 174/497 is

LCM of Numerators i.e. for 59,651,174 is 2227722

GCF of denominators i.e. for 327,225,497 is 1.

Thus, LCM of Fractions is 2227722.Finally, LCM of Fractions for 59/327, 651/225, 174/497 is 2227722.