Least Common Multiple of 72/425, 902/798, 729/353

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/425, 902/798, 729/353 quickly i.e. 2630232 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/425, 902/798, 729/353 is 2630232.

LCM(72/425, 902/798, 729/353) = 2630232

LCM of 72/425, 902/798, 729/353

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 72/425,902/798,729/353

Given numbers are 72/425,902/798,729/353

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 72,902,729

Least Common Multiple of Numerators i.e. LCM of 72,902,729 is 2630232.

GCF of Denominators means GCF of 425,798,353 as per the given fractions.

GCF of 425,798,353 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,902,729

LCM of Fractions 72/425,902/798,729/353 is 2630232

2 72, 902, 729
3 36, 451, 729
3 12, 451, 243
4, 451, 81

∴ So the LCM of the given numbers is 2 x 3 x 3 x 4 x 451 x 81 = 2630232

Least Common Multiple of 72,902,729 with GCF Formula

Least Common Multiple of 72,902,729 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 72,902,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,902,729) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(72,902,729) x common factors =1 x 18 = 18

LCM(72,902,729) = ( 72 × 902 × 729 ) / 18

LCM(72,902,729) = 47344176 / 18

LCM(72,902,729) = 2630232


Lets's calculate GCF of 425,798,353

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2630232/1

Therefore the LCM of Fractions 72/425,902/798,729/353 is 2630232

Greatest Common Factor of 425,798,353 By Matching Biggest Common Factor Method

Greatest Common Factor of 425,798,353 By Matching Biggest Common Factor Method

Factors of 425

List of positive integer factors of 425 that divides 425 without a remainder.

1,5,17,25,85,425

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Factors of 353

List of positive integer factors of 353 that divides 353 without a remainder.

1,353

Greatest Common Factor

We found the factors 425,798,353 . The biggest common factor number is the GCF number.
So the greatest common factor 425,798,353 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 72/425, 902/798, 729/353

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 72/425, 902/798, 729/353?

Answer: LCM of Numerators as per given numbers 72/425, 902/798, 729/353 is

LCM of Numerators i.e. for 72,902,729 is 2630232

GCF of denominators i.e. for 425,798,353 is 1.

Thus, LCM of Fractions is 2630232.Finally, LCM of Fractions for 72/425, 902/798, 729/353 is 2630232.