Least Common Multiple of 243/80, 738/1462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 243/80, 738/1462 quickly i.e. 9963 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 243/80, 738/1462 is 9963.

LCM(243/80, 738/1462) = 9963

LCM of 243/80, 738/1462

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 243/80,738/1462

Given numbers are 243/80,738/1462

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 243,738

Least Common Multiple of Numerators i.e. LCM of 243,738 is 19926.

GCF of Denominators means GCF of 80,1462 as per the given fractions.

GCF of 80,1462 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 243,738

LCM of Fractions 243/80,738/1462 is 9963

3 243, 738
3 81, 246
27, 82

∴ So the LCM of the given numbers is 3 x 3 x 27 x 82 = 19926

Least Common Multiple of 243,738 with GCF Formula

Least Common Multiple of 243,738 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 243,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(243,738) = 9

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

GCF(243,738) x common factors =9 x 1 = 9

LCM(243,738) = ( 243 × 738 ) / 9

LCM(243,738) = 179334 / 9

LCM(243,738) = 19926


Lets's calculate GCF of 80,1462

2 80, 1462
40, 731

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19926/2

Therefore the LCM of Fractions 243/80,738/1462 is 9963

Greatest Common Factor of 80,1462 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,1462 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 1462

List of positive integer factors of 1462 that divides 1462 without a remainder.

1,2,17,34,43,86,731,1462

Greatest Common Factor

We found the factors 80,1462 . The biggest common factor number is the GCF number.
So the greatest common factor 80,1462 is 2.


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 243/80, 738/1462

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 243/80, 738/1462?

Answer: LCM of Numerators as per given numbers 243/80, 738/1462 is

LCM of Numerators i.e. for 243,738 is 19926

GCF of denominators i.e. for 80,1462 is 2.

Thus, LCM of Fractions is 9963.Finally, LCM of Fractions for 243/80, 738/1462 is 9963.