Least Common Multiple of 704/13, 726/4630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 704/13, 726/4630 quickly i.e. 23232 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 704/13, 726/4630 is 23232.

LCM(704/13, 726/4630) = 23232

LCM of 704/13, 726/4630

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 704/13,726/4630

Given numbers are 704/13,726/4630

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 704,726

Least Common Multiple of Numerators i.e. LCM of 704,726 is 23232.

GCF of Denominators means GCF of 13,4630 as per the given fractions.

GCF of 13,4630 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 704,726

LCM of Fractions 704/13,726/4630 is 23232

2 704, 726
11 352, 363
32, 33

∴ So the LCM of the given numbers is 2 x 11 x 32 x 33 = 23232

Least Common Multiple of 704,726 with GCF Formula

Least Common Multiple of 704,726 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 704,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(704,726) = 22

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

GCF(704,726) x common factors =22 x 1 = 22

LCM(704,726) = ( 704 × 726 ) / 22

LCM(704,726) = 511104 / 22

LCM(704,726) = 23232


Lets's calculate GCF of 13,4630

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23232/1

Therefore the LCM of Fractions 704/13,726/4630 is 23232

Greatest Common Factor of 13,4630 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,4630 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 4630

List of positive integer factors of 4630 that divides 4630 without a remainder.

1,2,5,10,463,926,2315,4630

Greatest Common Factor

We found the factors 13,4630 . The biggest common factor number is the GCF number.
So the greatest common factor 13,4630 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 704/13, 726/4630

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 704/13, 726/4630?

Answer: LCM of Numerators as per given numbers 704/13, 726/4630 is

LCM of Numerators i.e. for 704,726 is 23232

GCF of denominators i.e. for 13,4630 is 1.

Thus, LCM of Fractions is 23232.Finally, LCM of Fractions for 704/13, 726/4630 is 23232.