Least Common Multiple of 537/726, 3237/352

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 537/726, 3237/352 quickly i.e. 579423/22 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 537/726, 3237/352 is 579423/22.

LCM(537/726, 3237/352) = 579423/22

LCM of 537/726, 3237/352

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 537/726,3237/352

Given numbers are 537/726,3237/352

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 537,3237

Least Common Multiple of Numerators i.e. LCM of 537,3237 is 579423.

GCF of Denominators means GCF of 726,352 as per the given fractions.

GCF of 726,352 is 22 as it is the largest common factor for these numbers.

Lets's calculate LCM of 537,3237

LCM of Fractions 537/726,3237/352 is 579423/22

3 537, 3237
179, 1079

∴ So the LCM of the given numbers is 3 x 179 x 1079 = 579423

Least Common Multiple of 537,3237 with GCF Formula

Least Common Multiple of 537,3237 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 537,3237 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(537,3237) = 3

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

GCF(537,3237) x common factors =3 x 1 = 3

LCM(537,3237) = ( 537 × 3237 ) / 3

LCM(537,3237) = 1738269 / 3

LCM(537,3237) = 579423


Lets's calculate GCF of 726,352

2 726, 352
11 363, 176
33, 16

∴ So the GCF of the given numbers is 2 x 11 = 22

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 579423/22

Therefore the LCM of Fractions 537/726,3237/352 is 579423/22

Greatest Common Factor of 726,352 By Matching Biggest Common Factor Method

Greatest Common Factor of 726,352 By Matching Biggest Common Factor Method

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

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

Greatest Common Factor

We found the factors 726,352 . The biggest common factor number is the GCF number.
So the greatest common factor 726,352 is 22.


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 537/726, 3237/352

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 537/726, 3237/352?

Answer: LCM of Numerators as per given numbers 537/726, 3237/352 is

LCM of Numerators i.e. for 537,3237 is 579423

GCF of denominators i.e. for 726,352 is 22.

Thus, LCM of Fractions is 579423/22.Finally, LCM of Fractions for 537/726, 3237/352 is 579423/22.