Least Common Multiple of 208/729, 185/524, 797/736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 208/729, 185/524, 797/736 quickly i.e. 30668560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 208/729, 185/524, 797/736 is 30668560.

LCM(208/729, 185/524, 797/736) = 30668560

LCM of 208/729, 185/524, 797/736

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 208/729,185/524,797/736

Given numbers are 208/729,185/524,797/736

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 208,185,797

Least Common Multiple of Numerators i.e. LCM of 208,185,797 is 30668560.

GCF of Denominators means GCF of 729,524,736 as per the given fractions.

GCF of 729,524,736 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 208,185,797

LCM of Fractions 208/729,185/524,797/736 is 30668560

Given numbers has no common factors except 1. So, there LCM is their product i.e 30668560

Least Common Multiple of 208,185,797 with GCF Formula

Least Common Multiple of 208,185,797 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 208,185,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,185,797) = 1

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

GCF(208,185,797) x common factors =1 x 1 = 1

LCM(208,185,797) = ( 208 × 185 × 797 ) / 1

LCM(208,185,797) = 30668560 / 1

LCM(208,185,797) = 30668560


Lets's calculate GCF of 729,524,736

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30668560/1

Therefore the LCM of Fractions 208/729,185/524,797/736 is 30668560

Greatest Common Factor of 729,524,736 By Matching Biggest Common Factor Method

Greatest Common Factor of 729,524,736 By Matching Biggest Common Factor Method

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Greatest Common Factor

We found the factors 729,524,736 . The biggest common factor number is the GCF number.
So the greatest common factor 729,524,736 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 208/729, 185/524, 797/736

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 208/729, 185/524, 797/736?

Answer: LCM of Numerators as per given numbers 208/729, 185/524, 797/736 is

LCM of Numerators i.e. for 208,185,797 is 30668560

GCF of denominators i.e. for 729,524,736 is 1.

Thus, LCM of Fractions is 30668560.Finally, LCM of Fractions for 208/729, 185/524, 797/736 is 30668560.