Least Common Multiple of 68/744, 307/216, 649/588

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/744, 307/216, 649/588 quickly i.e. 13548524/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/744, 307/216, 649/588 is 13548524/12.

LCM(68/744, 307/216, 649/588) = 13548524/12

LCM of 68/744, 307/216, 649/588

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 68/744,307/216,649/588

Given numbers are 68/744,307/216,649/588

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 68,307,649

Least Common Multiple of Numerators i.e. LCM of 68,307,649 is 13548524.

GCF of Denominators means GCF of 744,216,588 as per the given fractions.

GCF of 744,216,588 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,307,649

LCM of Fractions 68/744,307/216,649/588 is 13548524/12

Given numbers has no common factors except 1. So, there LCM is their product i.e 13548524

Least Common Multiple of 68,307,649 with GCF Formula

Least Common Multiple of 68,307,649 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 68,307,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,307,649) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(68,307,649) x common factors =1 x 1 = 1

LCM(68,307,649) = ( 68 × 307 × 649 ) / 1

LCM(68,307,649) = 13548524 / 1

LCM(68,307,649) = 13548524


Lets's calculate GCF of 744,216,588

2 744, 216, 588
2 372, 108, 294
3 186, 54, 147
62, 18, 49

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13548524/12

Therefore the LCM of Fractions 68/744,307/216,649/588 is 13548524/12

Greatest Common Factor of 744,216,588 By Matching Biggest Common Factor Method

Greatest Common Factor of 744,216,588 By Matching Biggest Common Factor Method

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Greatest Common Factor

We found the factors 744,216,588 . The biggest common factor number is the GCF number.
So the greatest common factor 744,216,588 is 12.


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 68/744, 307/216, 649/588

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 68/744, 307/216, 649/588?

Answer: LCM of Numerators as per given numbers 68/744, 307/216, 649/588 is

LCM of Numerators i.e. for 68,307,649 is 13548524

GCF of denominators i.e. for 744,216,588 is 12.

Thus, LCM of Fractions is 13548524/12.Finally, LCM of Fractions for 68/744, 307/216, 649/588 is 13548524/12.