Least Common Multiple of 9338/842, 7228/1420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9338/842, 7228/1420 quickly i.e. 16873766 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9338/842, 7228/1420 is 16873766.

LCM(9338/842, 7228/1420) = 16873766

LCM of 9338/842, 7228/1420

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 9338/842,7228/1420

Given numbers are 9338/842,7228/1420

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 9338,7228

Least Common Multiple of Numerators i.e. LCM of 9338,7228 is 33747532.

GCF of Denominators means GCF of 842,1420 as per the given fractions.

GCF of 842,1420 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9338,7228

LCM of Fractions 9338/842,7228/1420 is 16873766

2 9338, 7228
4669, 3614

∴ So the LCM of the given numbers is 2 x 4669 x 3614 = 33747532

Least Common Multiple of 9338,7228 with GCF Formula

Least Common Multiple of 9338,7228 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 9338,7228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9338,7228) = 2

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

GCF(9338,7228) x common factors =2 x 1 = 2

LCM(9338,7228) = ( 9338 × 7228 ) / 2

LCM(9338,7228) = 67495064 / 2

LCM(9338,7228) = 33747532


Lets's calculate GCF of 842,1420

2 842, 1420
421, 710

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33747532/2

Therefore the LCM of Fractions 9338/842,7228/1420 is 16873766

Greatest Common Factor of 842,1420 By Matching Biggest Common Factor Method

Greatest Common Factor of 842,1420 By Matching Biggest Common Factor Method

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Factors of 1420

List of positive integer factors of 1420 that divides 1420 without a remainder.

1,2,4,5,10,20,71,142,284,355,710,1420

Greatest Common Factor

We found the factors 842,1420 . The biggest common factor number is the GCF number.
So the greatest common factor 842,1420 is 2.


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 9338/842, 7228/1420

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 9338/842, 7228/1420?

Answer: LCM of Numerators as per given numbers 9338/842, 7228/1420 is

LCM of Numerators i.e. for 9338,7228 is 33747532

GCF of denominators i.e. for 842,1420 is 2.

Thus, LCM of Fractions is 16873766.Finally, LCM of Fractions for 9338/842, 7228/1420 is 16873766.