Least Common Multiple of 738/146, 539/427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 738/146, 539/427 quickly i.e. 397782 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 738/146, 539/427 is 397782.

LCM(738/146, 539/427) = 397782

LCM of 738/146, 539/427

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 738/146,539/427

Given numbers are 738/146,539/427

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 738,539

Least Common Multiple of Numerators i.e. LCM of 738,539 is 397782.

GCF of Denominators means GCF of 146,427 as per the given fractions.

GCF of 146,427 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 738,539

LCM of Fractions 738/146,539/427 is 397782

Given numbers has no common factors except 1. So, there LCM is their product i.e 397782

Least Common Multiple of 738,539 with GCF Formula

Least Common Multiple of 738,539 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 738,539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(738,539) = 1

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

GCF(738,539) x common factors =1 x 1 = 1

LCM(738,539) = ( 738 × 539 ) / 1

LCM(738,539) = 397782 / 1

LCM(738,539) = 397782


Lets's calculate GCF of 146,427

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 397782/1

Therefore the LCM of Fractions 738/146,539/427 is 397782

Greatest Common Factor of 146,427 By Matching Biggest Common Factor Method

Greatest Common Factor of 146,427 By Matching Biggest Common Factor Method

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Greatest Common Factor

We found the factors 146,427 . The biggest common factor number is the GCF number.
So the greatest common factor 146,427 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 738/146, 539/427

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 738/146, 539/427?

Answer: LCM of Numerators as per given numbers 738/146, 539/427 is

LCM of Numerators i.e. for 738,539 is 397782

GCF of denominators i.e. for 146,427 is 1.

Thus, LCM of Fractions is 397782.Finally, LCM of Fractions for 738/146, 539/427 is 397782.