Least Common Multiple of 7200/356, 5428/9500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7200/356, 5428/9500 quickly i.e. 2442600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7200/356, 5428/9500 is 2442600.

LCM(7200/356, 5428/9500) = 2442600

LCM of 7200/356, 5428/9500

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 7200/356,5428/9500

Given numbers are 7200/356,5428/9500

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 7200,5428

Least Common Multiple of Numerators i.e. LCM of 7200,5428 is 9770400.

GCF of Denominators means GCF of 356,9500 as per the given fractions.

GCF of 356,9500 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7200,5428

LCM of Fractions 7200/356,5428/9500 is 2442600

2 7200, 5428
2 3600, 2714
1800, 1357

∴ So the LCM of the given numbers is 2 x 2 x 1800 x 1357 = 9770400

Least Common Multiple of 7200,5428 with GCF Formula

Least Common Multiple of 7200,5428 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 7200,5428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7200,5428) = 4

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

GCF(7200,5428) x common factors =4 x 1 = 4

LCM(7200,5428) = ( 7200 × 5428 ) / 4

LCM(7200,5428) = 39081600 / 4

LCM(7200,5428) = 9770400


Lets's calculate GCF of 356,9500

2 356, 9500
2 178, 4750
89, 2375

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9770400/4

Therefore the LCM of Fractions 7200/356,5428/9500 is 2442600

Greatest Common Factor of 356,9500 By Matching Biggest Common Factor Method

Greatest Common Factor of 356,9500 By Matching Biggest Common Factor Method

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Factors of 9500

List of positive integer factors of 9500 that divides 9500 without a remainder.

1,2,4,5,10,19,20,25,38,50,76,95,100,125,190,250,380,475,500,950,1900,2375,4750,9500

Greatest Common Factor

We found the factors 356,9500 . The biggest common factor number is the GCF number.
So the greatest common factor 356,9500 is 4.


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 7200/356, 5428/9500

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 7200/356, 5428/9500?

Answer: LCM of Numerators as per given numbers 7200/356, 5428/9500 is

LCM of Numerators i.e. for 7200,5428 is 9770400

GCF of denominators i.e. for 356,9500 is 4.

Thus, LCM of Fractions is 2442600.Finally, LCM of Fractions for 7200/356, 5428/9500 is 2442600.