Least Common Multiple of 5298/403, 9324/102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5298/403, 9324/102 quickly i.e. 8233092 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5298/403, 9324/102 is 8233092.

LCM(5298/403, 9324/102) = 8233092

LCM of 5298/403, 9324/102

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 5298/403,9324/102

Given numbers are 5298/403,9324/102

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 5298,9324

Least Common Multiple of Numerators i.e. LCM of 5298,9324 is 8233092.

GCF of Denominators means GCF of 403,102 as per the given fractions.

GCF of 403,102 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5298,9324

LCM of Fractions 5298/403,9324/102 is 8233092

2 5298, 9324
3 2649, 4662
883, 1554

∴ So the LCM of the given numbers is 2 x 3 x 883 x 1554 = 8233092

Least Common Multiple of 5298,9324 with GCF Formula

Least Common Multiple of 5298,9324 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 5298,9324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5298,9324) = 6

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

GCF(5298,9324) x common factors =6 x 1 = 6

LCM(5298,9324) = ( 5298 × 9324 ) / 6

LCM(5298,9324) = 49398552 / 6

LCM(5298,9324) = 8233092


Lets's calculate GCF of 403,102

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8233092/1

Therefore the LCM of Fractions 5298/403,9324/102 is 8233092

Greatest Common Factor of 403,102 By Matching Biggest Common Factor Method

Greatest Common Factor of 403,102 By Matching Biggest Common Factor Method

Factors of 403

List of positive integer factors of 403 that divides 403 without a remainder.

1,13,31,403

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Greatest Common Factor

We found the factors 403,102 . The biggest common factor number is the GCF number.
So the greatest common factor 403,102 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5298/403, 9324/102

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 5298/403, 9324/102?

Answer: LCM of Numerators as per given numbers 5298/403, 9324/102 is

LCM of Numerators i.e. for 5298,9324 is 8233092

GCF of denominators i.e. for 403,102 is 1.

Thus, LCM of Fractions is 8233092.Finally, LCM of Fractions for 5298/403, 9324/102 is 8233092.