Least Common Multiple of 7446/303, 4540/1272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7446/303, 4540/1272 quickly i.e. 5634140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7446/303, 4540/1272 is 5634140.

LCM(7446/303, 4540/1272) = 5634140

LCM of 7446/303, 4540/1272

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 7446/303,4540/1272

Given numbers are 7446/303,4540/1272

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 7446,4540

Least Common Multiple of Numerators i.e. LCM of 7446,4540 is 16902420.

GCF of Denominators means GCF of 303,1272 as per the given fractions.

GCF of 303,1272 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7446,4540

LCM of Fractions 7446/303,4540/1272 is 5634140

2 7446, 4540
3723, 2270

∴ So the LCM of the given numbers is 2 x 3723 x 2270 = 16902420

Least Common Multiple of 7446,4540 with GCF Formula

Least Common Multiple of 7446,4540 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 7446,4540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7446,4540) = 2

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

GCF(7446,4540) x common factors =2 x 1 = 2

LCM(7446,4540) = ( 7446 × 4540 ) / 2

LCM(7446,4540) = 33804840 / 2

LCM(7446,4540) = 16902420


Lets's calculate GCF of 303,1272

3 303, 1272
101, 424

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16902420/3

Therefore the LCM of Fractions 7446/303,4540/1272 is 5634140

Greatest Common Factor of 303,1272 By Matching Biggest Common Factor Method

Greatest Common Factor of 303,1272 By Matching Biggest Common Factor Method

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Factors of 1272

List of positive integer factors of 1272 that divides 1272 without a remainder.

1,2,3,4,6,8,12,24,53,106,159,212,318,424,636,1272

Greatest Common Factor

We found the factors 303,1272 . The biggest common factor number is the GCF number.
So the greatest common factor 303,1272 is 3.


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 7446/303, 4540/1272

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 7446/303, 4540/1272?

Answer: LCM of Numerators as per given numbers 7446/303, 4540/1272 is

LCM of Numerators i.e. for 7446,4540 is 16902420

GCF of denominators i.e. for 303,1272 is 3.

Thus, LCM of Fractions is 5634140.Finally, LCM of Fractions for 7446/303, 4540/1272 is 5634140.