Least Common Multiple of 7200/202, 3429/5443

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7200/202, 3429/5443 quickly i.e. 2743200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7200/202, 3429/5443 is 2743200.

LCM(7200/202, 3429/5443) = 2743200

LCM of 7200/202, 3429/5443

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 7200/202,3429/5443

Given numbers are 7200/202,3429/5443

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 7200,3429

Least Common Multiple of Numerators i.e. LCM of 7200,3429 is 2743200.

GCF of Denominators means GCF of 202,5443 as per the given fractions.

GCF of 202,5443 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7200,3429

LCM of Fractions 7200/202,3429/5443 is 2743200

3 7200, 3429
3 2400, 1143
800, 381

∴ So the LCM of the given numbers is 3 x 3 x 800 x 381 = 2743200

Least Common Multiple of 7200,3429 with GCF Formula

Least Common Multiple of 7200,3429 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 7200,3429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7200,3429) = 9

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

GCF(7200,3429) x common factors =9 x 1 = 9

LCM(7200,3429) = ( 7200 × 3429 ) / 9

LCM(7200,3429) = 24688800 / 9

LCM(7200,3429) = 2743200


Lets's calculate GCF of 202,5443

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2743200/1

Therefore the LCM of Fractions 7200/202,3429/5443 is 2743200

Greatest Common Factor of 202,5443 By Matching Biggest Common Factor Method

Greatest Common Factor of 202,5443 By Matching Biggest Common Factor Method

Factors of 202

List of positive integer factors of 202 that divides 202 without a remainder.

1,2,101,202

Factors of 5443

List of positive integer factors of 5443 that divides 5443 without a remainder.

1,5443

Greatest Common Factor

We found the factors 202,5443 . The biggest common factor number is the GCF number.
So the greatest common factor 202,5443 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 7200/202, 3429/5443

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 7200/202, 3429/5443?

Answer: LCM of Numerators as per given numbers 7200/202, 3429/5443 is

LCM of Numerators i.e. for 7200,3429 is 2743200

GCF of denominators i.e. for 202,5443 is 1.

Thus, LCM of Fractions is 2743200.Finally, LCM of Fractions for 7200/202, 3429/5443 is 2743200.