Least Common Multiple of 39/58, 688/29, 518/594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/58, 688/29, 518/594 quickly i.e. 6949488 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/58, 688/29, 518/594 is 6949488.

LCM(39/58, 688/29, 518/594) = 6949488

LCM of 39/58, 688/29, 518/594

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 39/58,688/29,518/594

Given numbers are 39/58,688/29,518/594

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 39,688,518

Least Common Multiple of Numerators i.e. LCM of 39,688,518 is 6949488.

GCF of Denominators means GCF of 58,29,594 as per the given fractions.

GCF of 58,29,594 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,688,518

LCM of Fractions 39/58,688/29,518/594 is 6949488

2 39, 688, 518
39, 344, 259

∴ So the LCM of the given numbers is 2 x 39 x 344 x 259 = 6949488

Least Common Multiple of 39,688,518 with GCF Formula

Least Common Multiple of 39,688,518 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 39,688,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,688,518) = 1

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

GCF(39,688,518) x common factors =1 x 2 = 2

LCM(39,688,518) = ( 39 × 688 × 518 ) / 2

LCM(39,688,518) = 13898976 / 2

LCM(39,688,518) = 6949488


Lets's calculate GCF of 58,29,594

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6949488/1

Therefore the LCM of Fractions 39/58,688/29,518/594 is 6949488

Greatest Common Factor of 58,29,594 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,29,594 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Greatest Common Factor

We found the factors 58,29,594 . The biggest common factor number is the GCF number.
So the greatest common factor 58,29,594 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 39/58, 688/29, 518/594

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 39/58, 688/29, 518/594?

Answer: LCM of Numerators as per given numbers 39/58, 688/29, 518/594 is

LCM of Numerators i.e. for 39,688,518 is 6949488

GCF of denominators i.e. for 58,29,594 is 1.

Thus, LCM of Fractions is 6949488.Finally, LCM of Fractions for 39/58, 688/29, 518/594 is 6949488.