Least Common Multiple of 9438/284, 2299/548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9438/284, 2299/548 quickly i.e. 179322/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9438/284, 2299/548 is 179322/4.

LCM(9438/284, 2299/548) = 179322/4

LCM of 9438/284, 2299/548

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 9438/284,2299/548

Given numbers are 9438/284,2299/548

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 9438,2299

Least Common Multiple of Numerators i.e. LCM of 9438,2299 is 179322.

GCF of Denominators means GCF of 284,548 as per the given fractions.

GCF of 284,548 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9438,2299

LCM of Fractions 9438/284,2299/548 is 179322/4

11 9438, 2299
11 858, 209
78, 19

∴ So the LCM of the given numbers is 11 x 11 x 78 x 19 = 179322

Least Common Multiple of 9438,2299 with GCF Formula

Least Common Multiple of 9438,2299 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 9438,2299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9438,2299) = 121

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

GCF(9438,2299) x common factors =121 x 1 = 121

LCM(9438,2299) = ( 9438 × 2299 ) / 121

LCM(9438,2299) = 21697962 / 121

LCM(9438,2299) = 179322


Lets's calculate GCF of 284,548

2 284, 548
2 142, 274
71, 137

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 179322/4

Therefore the LCM of Fractions 9438/284,2299/548 is 179322/4

Greatest Common Factor of 284,548 By Matching Biggest Common Factor Method

Greatest Common Factor of 284,548 By Matching Biggest Common Factor Method

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Greatest Common Factor

We found the factors 284,548 . The biggest common factor number is the GCF number.
So the greatest common factor 284,548 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 9438/284, 2299/548

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 9438/284, 2299/548?

Answer: LCM of Numerators as per given numbers 9438/284, 2299/548 is

LCM of Numerators i.e. for 9438,2299 is 179322

GCF of denominators i.e. for 284,548 is 4.

Thus, LCM of Fractions is 179322/4.Finally, LCM of Fractions for 9438/284, 2299/548 is 179322/4.