Least Common Multiple of 72/338, 758/666, 586/417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/338, 758/666, 586/417 quickly i.e. 7995384 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/338, 758/666, 586/417 is 7995384.

LCM(72/338, 758/666, 586/417) = 7995384

LCM of 72/338, 758/666, 586/417

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 72/338,758/666,586/417

Given numbers are 72/338,758/666,586/417

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 72,758,586

Least Common Multiple of Numerators i.e. LCM of 72,758,586 is 7995384.

GCF of Denominators means GCF of 338,666,417 as per the given fractions.

GCF of 338,666,417 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,758,586

LCM of Fractions 72/338,758/666,586/417 is 7995384

2 72, 758, 586
36, 379, 293

∴ So the LCM of the given numbers is 2 x 36 x 379 x 293 = 7995384

Least Common Multiple of 72,758,586 with GCF Formula

Least Common Multiple of 72,758,586 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 72,758,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,758,586) = 2

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

GCF(72,758,586) x common factors =2 x 2 = 4

LCM(72,758,586) = ( 72 × 758 × 586 ) / 4

LCM(72,758,586) = 31981536 / 4

LCM(72,758,586) = 7995384


Lets's calculate GCF of 338,666,417

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7995384/1

Therefore the LCM of Fractions 72/338,758/666,586/417 is 7995384

Greatest Common Factor of 338,666,417 By Matching Biggest Common Factor Method

Greatest Common Factor of 338,666,417 By Matching Biggest Common Factor Method

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Factors of 666

List of positive integer factors of 666 that divides 666 without a remainder.

1,2,3,6,9,18,37,74,111,222,333,666

Factors of 417

List of positive integer factors of 417 that divides 417 without a remainder.

1,3,139,417

Greatest Common Factor

We found the factors 338,666,417 . The biggest common factor number is the GCF number.
So the greatest common factor 338,666,417 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 72/338, 758/666, 586/417

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 72/338, 758/666, 586/417?

Answer: LCM of Numerators as per given numbers 72/338, 758/666, 586/417 is

LCM of Numerators i.e. for 72,758,586 is 7995384

GCF of denominators i.e. for 338,666,417 is 1.

Thus, LCM of Fractions is 7995384.Finally, LCM of Fractions for 72/338, 758/666, 586/417 is 7995384.