Least Common Multiple of 1323/737, 5145/9543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1323/737, 5145/9543 quickly i.e. 46305 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1323/737, 5145/9543 is 46305.

LCM(1323/737, 5145/9543) = 46305

LCM of 1323/737, 5145/9543

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 1323/737,5145/9543

Given numbers are 1323/737,5145/9543

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 1323,5145

Least Common Multiple of Numerators i.e. LCM of 1323,5145 is 46305.

GCF of Denominators means GCF of 737,9543 as per the given fractions.

GCF of 737,9543 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1323,5145

LCM of Fractions 1323/737,5145/9543 is 46305

3 1323, 5145
7 441, 1715
7 63, 245
9, 35

∴ So the LCM of the given numbers is 3 x 7 x 7 x 9 x 35 = 46305

Least Common Multiple of 1323,5145 with GCF Formula

Least Common Multiple of 1323,5145 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 1323,5145 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1323,5145) = 147

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

GCF(1323,5145) x common factors =147 x 1 = 147

LCM(1323,5145) = ( 1323 × 5145 ) / 147

LCM(1323,5145) = 6806835 / 147

LCM(1323,5145) = 46305


Lets's calculate GCF of 737,9543

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46305/1

Therefore the LCM of Fractions 1323/737,5145/9543 is 46305

Greatest Common Factor of 737,9543 By Matching Biggest Common Factor Method

Greatest Common Factor of 737,9543 By Matching Biggest Common Factor Method

Factors of 737

List of positive integer factors of 737 that divides 737 without a remainder.

1,11,67,737

Factors of 9543

List of positive integer factors of 9543 that divides 9543 without a remainder.

1,3,3181,9543

Greatest Common Factor

We found the factors 737,9543 . The biggest common factor number is the GCF number.
So the greatest common factor 737,9543 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 1323/737, 5145/9543

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 1323/737, 5145/9543?

Answer: LCM of Numerators as per given numbers 1323/737, 5145/9543 is

LCM of Numerators i.e. for 1323,5145 is 46305

GCF of denominators i.e. for 737,9543 is 1.

Thus, LCM of Fractions is 46305.Finally, LCM of Fractions for 1323/737, 5145/9543 is 46305.