Least Common Multiple of 38/438, 12/930, 611/747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/438, 12/930, 611/747 quickly i.e. 46436 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/438, 12/930, 611/747 is 46436.

LCM(38/438, 12/930, 611/747) = 46436

LCM of 38/438, 12/930, 611/747

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 38/438,12/930,611/747

Given numbers are 38/438,12/930,611/747

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 38,12,611

Least Common Multiple of Numerators i.e. LCM of 38,12,611 is 139308.

GCF of Denominators means GCF of 438,930,747 as per the given fractions.

GCF of 438,930,747 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,12,611

LCM of Fractions 38/438,12/930,611/747 is 46436

2 38, 12, 611
19, 6, 611

∴ So the LCM of the given numbers is 2 x 19 x 6 x 611 = 139308

Least Common Multiple of 38,12,611 with GCF Formula

Least Common Multiple of 38,12,611 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 38,12,611 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,12,611) = 1

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

GCF(38,12,611) x common factors =1 x 2 = 2

LCM(38,12,611) = ( 38 × 12 × 611 ) / 2

LCM(38,12,611) = 278616 / 2

LCM(38,12,611) = 139308


Lets's calculate GCF of 438,930,747

3 438, 930, 747
146, 310, 249

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 139308/3

Therefore the LCM of Fractions 38/438,12/930,611/747 is 46436

Greatest Common Factor of 438,930,747 By Matching Biggest Common Factor Method

Greatest Common Factor of 438,930,747 By Matching Biggest Common Factor Method

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

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 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Greatest Common Factor

We found the factors 438,930,747 . The biggest common factor number is the GCF number.
So the greatest common factor 438,930,747 is 3.


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 38/438, 12/930, 611/747

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 38/438, 12/930, 611/747?

Answer: LCM of Numerators as per given numbers 38/438, 12/930, 611/747 is

LCM of Numerators i.e. for 38,12,611 is 139308

GCF of denominators i.e. for 438,930,747 is 3.

Thus, LCM of Fractions is 46436.Finally, LCM of Fractions for 38/438, 12/930, 611/747 is 46436.