Least Common Multiple of 35/131, 57/329, 361/321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/131, 57/329, 361/321 quickly i.e. 37905 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/131, 57/329, 361/321 is 37905.

LCM(35/131, 57/329, 361/321) = 37905

LCM of 35/131, 57/329, 361/321

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 35/131,57/329,361/321

Given numbers are 35/131,57/329,361/321

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 35,57,361

Least Common Multiple of Numerators i.e. LCM of 35,57,361 is 37905.

GCF of Denominators means GCF of 131,329,321 as per the given fractions.

GCF of 131,329,321 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,57,361

LCM of Fractions 35/131,57/329,361/321 is 37905

19 35, 57, 361
35, 3, 19

∴ So the LCM of the given numbers is 19 x 35 x 3 x 19 = 37905

Least Common Multiple of 35,57,361 with GCF Formula

Least Common Multiple of 35,57,361 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 35,57,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,57,361) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(35,57,361) x common factors =1 x 19 = 19

LCM(35,57,361) = ( 35 × 57 × 361 ) / 19

LCM(35,57,361) = 720195 / 19

LCM(35,57,361) = 37905


Lets's calculate GCF of 131,329,321

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37905/1

Therefore the LCM of Fractions 35/131,57/329,361/321 is 37905

Greatest Common Factor of 131,329,321 By Matching Biggest Common Factor Method

Greatest Common Factor of 131,329,321 By Matching Biggest Common Factor Method

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Greatest Common Factor

We found the factors 131,329,321 . The biggest common factor number is the GCF number.
So the greatest common factor 131,329,321 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 35/131, 57/329, 361/321

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 35/131, 57/329, 361/321?

Answer: LCM of Numerators as per given numbers 35/131, 57/329, 361/321 is

LCM of Numerators i.e. for 35,57,361 is 37905

GCF of denominators i.e. for 131,329,321 is 1.

Thus, LCM of Fractions is 37905.Finally, LCM of Fractions for 35/131, 57/329, 361/321 is 37905.