Least Common Multiple of 547/403, 726/468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 547/403, 726/468 quickly i.e. 397122/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 547/403, 726/468 is 397122/13.

LCM(547/403, 726/468) = 397122/13

LCM of 547/403, 726/468

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 547/403,726/468

Given numbers are 547/403,726/468

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 547,726

Least Common Multiple of Numerators i.e. LCM of 547,726 is 397122.

GCF of Denominators means GCF of 403,468 as per the given fractions.

GCF of 403,468 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 547,726

LCM of Fractions 547/403,726/468 is 397122/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 397122

Least Common Multiple of 547,726 with GCF Formula

Least Common Multiple of 547,726 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 547,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(547,726) = 1

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

GCF(547,726) x common factors =1 x 1 = 1

LCM(547,726) = ( 547 × 726 ) / 1

LCM(547,726) = 397122 / 1

LCM(547,726) = 397122


Lets's calculate GCF of 403,468

13 403, 468
31, 36

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 397122/13

Therefore the LCM of Fractions 547/403,726/468 is 397122/13

Greatest Common Factor of 403,468 By Matching Biggest Common Factor Method

Greatest Common Factor of 403,468 By Matching Biggest Common Factor Method

Factors of 403

List of positive integer factors of 403 that divides 403 without a remainder.

1,13,31,403

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Greatest Common Factor

We found the factors 403,468 . The biggest common factor number is the GCF number.
So the greatest common factor 403,468 is 13.


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 547/403, 726/468

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 547/403, 726/468?

Answer: LCM of Numerators as per given numbers 547/403, 726/468 is

LCM of Numerators i.e. for 547,726 is 397122

GCF of denominators i.e. for 403,468 is 13.

Thus, LCM of Fractions is 397122/13.Finally, LCM of Fractions for 547/403, 726/468 is 397122/13.