Least Common Multiple of 729/704, 297/297, 526/898

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 729/704, 297/297, 526/898 quickly i.e. 4217994 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 729/704, 297/297, 526/898 is 4217994.

LCM(729/704, 297/297, 526/898) = 4217994

LCM of 729/704, 297/297, 526/898

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 729/704,297/297,526/898

Given numbers are 729/704,297/297,526/898

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 729,297,526

Least Common Multiple of Numerators i.e. LCM of 729,297,526 is 4217994.

GCF of Denominators means GCF of 704,297,898 as per the given fractions.

GCF of 704,297,898 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 729,297,526

LCM of Fractions 729/704,297/297,526/898 is 4217994

3 729, 297, 526
3 243, 99, 526
3 81, 33, 526
27, 11, 526

∴ So the LCM of the given numbers is 3 x 3 x 3 x 27 x 11 x 526 = 4217994

Least Common Multiple of 729,297,526 with GCF Formula

Least Common Multiple of 729,297,526 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 729,297,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(729,297,526) = 1

common factors(in case of two or more numbers have common factors) = 27

GCF(729,297,526) x common factors =1 x 27 = 27

LCM(729,297,526) = ( 729 × 297 × 526 ) / 27

LCM(729,297,526) = 113885838 / 27

LCM(729,297,526) = 4217994


Lets's calculate GCF of 704,297,898

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4217994/1

Therefore the LCM of Fractions 729/704,297/297,526/898 is 4217994

Greatest Common Factor of 704,297,898 By Matching Biggest Common Factor Method

Greatest Common Factor of 704,297,898 By Matching Biggest Common Factor Method

Factors of 704

List of positive integer factors of 704 that divides 704 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Greatest Common Factor

We found the factors 704,297,898 . The biggest common factor number is the GCF number.
So the greatest common factor 704,297,898 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 729/704, 297/297, 526/898

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 729/704, 297/297, 526/898?

Answer: LCM of Numerators as per given numbers 729/704, 297/297, 526/898 is

LCM of Numerators i.e. for 729,297,526 is 4217994

GCF of denominators i.e. for 704,297,898 is 1.

Thus, LCM of Fractions is 4217994.Finally, LCM of Fractions for 729/704, 297/297, 526/898 is 4217994.