Least Common Multiple of 41/930, 20/112, 338/923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/930, 20/112, 338/923 quickly i.e. 138580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/930, 20/112, 338/923 is 138580.

LCM(41/930, 20/112, 338/923) = 138580

LCM of 41/930, 20/112, 338/923

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 41/930,20/112,338/923

Given numbers are 41/930,20/112,338/923

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 41,20,338

Least Common Multiple of Numerators i.e. LCM of 41,20,338 is 138580.

GCF of Denominators means GCF of 930,112,923 as per the given fractions.

GCF of 930,112,923 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,20,338

LCM of Fractions 41/930,20/112,338/923 is 138580

2 41, 20, 338
41, 10, 169

∴ So the LCM of the given numbers is 2 x 41 x 10 x 169 = 138580

Least Common Multiple of 41,20,338 with GCF Formula

Least Common Multiple of 41,20,338 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 41,20,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,20,338) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(41,20,338) x common factors =1 x 2 = 2

LCM(41,20,338) = ( 41 × 20 × 338 ) / 2

LCM(41,20,338) = 277160 / 2

LCM(41,20,338) = 138580


Lets's calculate GCF of 930,112,923

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 138580/1

Therefore the LCM of Fractions 41/930,20/112,338/923 is 138580

Greatest Common Factor of 930,112,923 By Matching Biggest Common Factor Method

Greatest Common Factor of 930,112,923 By Matching Biggest Common Factor Method

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Greatest Common Factor

We found the factors 930,112,923 . The biggest common factor number is the GCF number.
So the greatest common factor 930,112,923 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 41/930, 20/112, 338/923

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 41/930, 20/112, 338/923?

Answer: LCM of Numerators as per given numbers 41/930, 20/112, 338/923 is

LCM of Numerators i.e. for 41,20,338 is 138580

GCF of denominators i.e. for 930,112,923 is 1.

Thus, LCM of Fractions is 138580.Finally, LCM of Fractions for 41/930, 20/112, 338/923 is 138580.