Least Common Multiple of 2298/428, 7213/9992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2298/428, 7213/9992 quickly i.e. 16575474/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2298/428, 7213/9992 is 16575474/4.

LCM(2298/428, 7213/9992) = 16575474/4

LCM of 2298/428, 7213/9992

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 2298/428,7213/9992

Given numbers are 2298/428,7213/9992

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 2298,7213

Least Common Multiple of Numerators i.e. LCM of 2298,7213 is 16575474.

GCF of Denominators means GCF of 428,9992 as per the given fractions.

GCF of 428,9992 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2298,7213

LCM of Fractions 2298/428,7213/9992 is 16575474/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 16575474

Least Common Multiple of 2298,7213 with GCF Formula

Least Common Multiple of 2298,7213 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 2298,7213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2298,7213) = 1

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

GCF(2298,7213) x common factors =1 x 1 = 1

LCM(2298,7213) = ( 2298 × 7213 ) / 1

LCM(2298,7213) = 16575474 / 1

LCM(2298,7213) = 16575474


Lets's calculate GCF of 428,9992

2 428, 9992
2 214, 4996
107, 2498

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16575474/4

Therefore the LCM of Fractions 2298/428,7213/9992 is 16575474/4

Greatest Common Factor of 428,9992 By Matching Biggest Common Factor Method

Greatest Common Factor of 428,9992 By Matching Biggest Common Factor Method

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 9992

List of positive integer factors of 9992 that divides 9992 without a remainder.

1,2,4,8,1249,2498,4996,9992

Greatest Common Factor

We found the factors 428,9992 . The biggest common factor number is the GCF number.
So the greatest common factor 428,9992 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 2298/428, 7213/9992

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 2298/428, 7213/9992?

Answer: LCM of Numerators as per given numbers 2298/428, 7213/9992 is

LCM of Numerators i.e. for 2298,7213 is 16575474

GCF of denominators i.e. for 428,9992 is 4.

Thus, LCM of Fractions is 16575474/4.Finally, LCM of Fractions for 2298/428, 7213/9992 is 16575474/4.