Least Common Multiple of 38/465, 931/592, 206/131

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/465, 931/592, 206/131 quickly i.e. 191786 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/465, 931/592, 206/131 is 191786.

LCM(38/465, 931/592, 206/131) = 191786

LCM of 38/465, 931/592, 206/131

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 38/465,931/592,206/131

Given numbers are 38/465,931/592,206/131

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 38,931,206

Least Common Multiple of Numerators i.e. LCM of 38,931,206 is 191786.

GCF of Denominators means GCF of 465,592,131 as per the given fractions.

GCF of 465,592,131 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,931,206

LCM of Fractions 38/465,931/592,206/131 is 191786

2 38, 931, 206
19 19, 931, 103
1, 49, 103

∴ So the LCM of the given numbers is 2 x 19 x 1 x 49 x 103 = 191786

Least Common Multiple of 38,931,206 with GCF Formula

Least Common Multiple of 38,931,206 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 38,931,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,931,206) = 1

common factors(in case of two or more numbers have common factors) = 38

GCF(38,931,206) x common factors =1 x 38 = 38

LCM(38,931,206) = ( 38 × 931 × 206 ) / 38

LCM(38,931,206) = 7287868 / 38

LCM(38,931,206) = 191786


Lets's calculate GCF of 465,592,131

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 191786/1

Therefore the LCM of Fractions 38/465,931/592,206/131 is 191786

Greatest Common Factor of 465,592,131 By Matching Biggest Common Factor Method

Greatest Common Factor of 465,592,131 By Matching Biggest Common Factor Method

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Factors of 131

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

1,131

Greatest Common Factor

We found the factors 465,592,131 . The biggest common factor number is the GCF number.
So the greatest common factor 465,592,131 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 38/465, 931/592, 206/131

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 38/465, 931/592, 206/131?

Answer: LCM of Numerators as per given numbers 38/465, 931/592, 206/131 is

LCM of Numerators i.e. for 38,931,206 is 191786

GCF of denominators i.e. for 465,592,131 is 1.

Thus, LCM of Fractions is 191786.Finally, LCM of Fractions for 38/465, 931/592, 206/131 is 191786.