Least Common Multiple of 728/649, 301/438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 728/649, 301/438 quickly i.e. 31304 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 728/649, 301/438 is 31304.

LCM(728/649, 301/438) = 31304

LCM of 728/649, 301/438

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 728/649,301/438

Given numbers are 728/649,301/438

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 728,301

Least Common Multiple of Numerators i.e. LCM of 728,301 is 31304.

GCF of Denominators means GCF of 649,438 as per the given fractions.

GCF of 649,438 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 728,301

LCM of Fractions 728/649,301/438 is 31304

7 728, 301
104, 43

∴ So the LCM of the given numbers is 7 x 104 x 43 = 31304

Least Common Multiple of 728,301 with GCF Formula

Least Common Multiple of 728,301 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 728,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(728,301) = 7

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

GCF(728,301) x common factors =7 x 1 = 7

LCM(728,301) = ( 728 × 301 ) / 7

LCM(728,301) = 219128 / 7

LCM(728,301) = 31304


Lets's calculate GCF of 649,438

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31304/1

Therefore the LCM of Fractions 728/649,301/438 is 31304

Greatest Common Factor of 649,438 By Matching Biggest Common Factor Method

Greatest Common Factor of 649,438 By Matching Biggest Common Factor Method

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Greatest Common Factor

We found the factors 649,438 . The biggest common factor number is the GCF number.
So the greatest common factor 649,438 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 728/649, 301/438

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 728/649, 301/438?

Answer: LCM of Numerators as per given numbers 728/649, 301/438 is

LCM of Numerators i.e. for 728,301 is 31304

GCF of denominators i.e. for 649,438 is 1.

Thus, LCM of Fractions is 31304.Finally, LCM of Fractions for 728/649, 301/438 is 31304.