Least Common Multiple of 738/842, 972/339, 405/239

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 738/842, 972/339, 405/239 quickly i.e. 199260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 738/842, 972/339, 405/239 is 199260.

LCM(738/842, 972/339, 405/239) = 199260

LCM of 738/842, 972/339, 405/239

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 738/842,972/339,405/239

Given numbers are 738/842,972/339,405/239

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 738,972,405

Least Common Multiple of Numerators i.e. LCM of 738,972,405 is 199260.

GCF of Denominators means GCF of 842,339,239 as per the given fractions.

GCF of 842,339,239 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 738,972,405

LCM of Fractions 738/842,972/339,405/239 is 199260

2 738, 972, 405
3 369, 486, 405
3 123, 162, 135
3 41, 54, 45
3 41, 18, 15
41, 6, 5

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 3 x 41 x 6 x 5 = 199260

Least Common Multiple of 738,972,405 with GCF Formula

Least Common Multiple of 738,972,405 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 738,972,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(738,972,405) = 9

common factors(in case of two or more numbers have common factors) = 162

GCF(738,972,405) x common factors =9 x 162 = 1458

LCM(738,972,405) = ( 738 × 972 × 405 ) / 1458

LCM(738,972,405) = 290521080 / 1458

LCM(738,972,405) = 199260


Lets's calculate GCF of 842,339,239

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 199260/1

Therefore the LCM of Fractions 738/842,972/339,405/239 is 199260

Greatest Common Factor of 842,339,239 By Matching Biggest Common Factor Method

Greatest Common Factor of 842,339,239 By Matching Biggest Common Factor Method

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Factors of 239

List of positive integer factors of 239 that divides 239 without a remainder.

1,239

Greatest Common Factor

We found the factors 842,339,239 . The biggest common factor number is the GCF number.
So the greatest common factor 842,339,239 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 738/842, 972/339, 405/239

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 738/842, 972/339, 405/239?

Answer: LCM of Numerators as per given numbers 738/842, 972/339, 405/239 is

LCM of Numerators i.e. for 738,972,405 is 199260

GCF of denominators i.e. for 842,339,239 is 1.

Thus, LCM of Fractions is 199260.Finally, LCM of Fractions for 738/842, 972/339, 405/239 is 199260.