Least Common Multiple of 58/706, 5300/1728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/706, 5300/1728 quickly i.e. 76850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/706, 5300/1728 is 76850.

LCM(58/706, 5300/1728) = 76850

LCM of 58/706, 5300/1728

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 58/706,5300/1728

Given numbers are 58/706,5300/1728

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 58,5300

Least Common Multiple of Numerators i.e. LCM of 58,5300 is 153700.

GCF of Denominators means GCF of 706,1728 as per the given fractions.

GCF of 706,1728 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,5300

LCM of Fractions 58/706,5300/1728 is 76850

2 58, 5300
29, 2650

∴ So the LCM of the given numbers is 2 x 29 x 2650 = 153700

Least Common Multiple of 58,5300 with GCF Formula

Least Common Multiple of 58,5300 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 58,5300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,5300) = 2

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

GCF(58,5300) x common factors =2 x 1 = 2

LCM(58,5300) = ( 58 × 5300 ) / 2

LCM(58,5300) = 307400 / 2

LCM(58,5300) = 153700


Lets's calculate GCF of 706,1728

2 706, 1728
353, 864

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 153700/2

Therefore the LCM of Fractions 58/706,5300/1728 is 76850

Greatest Common Factor of 706,1728 By Matching Biggest Common Factor Method

Greatest Common Factor of 706,1728 By Matching Biggest Common Factor Method

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Factors of 1728

List of positive integer factors of 1728 that divides 1728 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,64,72,96,108,144,192,216,288,432,576,864,1728

Greatest Common Factor

We found the factors 706,1728 . The biggest common factor number is the GCF number.
So the greatest common factor 706,1728 is 2.


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 58/706, 5300/1728

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 58/706, 5300/1728?

Answer: LCM of Numerators as per given numbers 58/706, 5300/1728 is

LCM of Numerators i.e. for 58,5300 is 153700

GCF of denominators i.e. for 706,1728 is 2.

Thus, LCM of Fractions is 76850.Finally, LCM of Fractions for 58/706, 5300/1728 is 76850.