Least Common Multiple of 133/131, 938/166, 361/569

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 133/131, 938/166, 361/569 quickly i.e. 338618 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 133/131, 938/166, 361/569 is 338618.

LCM(133/131, 938/166, 361/569) = 338618

LCM of 133/131, 938/166, 361/569

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 133/131,938/166,361/569

Given numbers are 133/131,938/166,361/569

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 133,938,361

Least Common Multiple of Numerators i.e. LCM of 133,938,361 is 338618.

GCF of Denominators means GCF of 131,166,569 as per the given fractions.

GCF of 131,166,569 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 133,938,361

LCM of Fractions 133/131,938/166,361/569 is 338618

7 133, 938, 361
19 19, 134, 361
1, 134, 19

∴ So the LCM of the given numbers is 7 x 19 x 1 x 134 x 19 = 338618

Least Common Multiple of 133,938,361 with GCF Formula

Least Common Multiple of 133,938,361 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 133,938,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(133,938,361) = 1

common factors(in case of two or more numbers have common factors) = 133

GCF(133,938,361) x common factors =1 x 133 = 133

LCM(133,938,361) = ( 133 × 938 × 361 ) / 133

LCM(133,938,361) = 45036194 / 133

LCM(133,938,361) = 338618


Lets's calculate GCF of 131,166,569

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 338618/1

Therefore the LCM of Fractions 133/131,938/166,361/569 is 338618

Greatest Common Factor of 131,166,569 By Matching Biggest Common Factor Method

Greatest Common Factor of 131,166,569 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 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

Factors of 569

List of positive integer factors of 569 that divides 569 without a remainder.

1,569

Greatest Common Factor

We found the factors 131,166,569 . The biggest common factor number is the GCF number.
So the greatest common factor 131,166,569 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 133/131, 938/166, 361/569

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 133/131, 938/166, 361/569?

Answer: LCM of Numerators as per given numbers 133/131, 938/166, 361/569 is

LCM of Numerators i.e. for 133,938,361 is 338618

GCF of denominators i.e. for 131,166,569 is 1.

Thus, LCM of Fractions is 338618.Finally, LCM of Fractions for 133/131, 938/166, 361/569 is 338618.