Least Common Multiple of 3673/28, 9335/998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3673/28, 9335/998 quickly i.e. 34287455/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3673/28, 9335/998 is 34287455/2.

LCM(3673/28, 9335/998) = 34287455/2

LCM of 3673/28, 9335/998

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 3673/28,9335/998

Given numbers are 3673/28,9335/998

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 3673,9335

Least Common Multiple of Numerators i.e. LCM of 3673,9335 is 34287455.

GCF of Denominators means GCF of 28,998 as per the given fractions.

GCF of 28,998 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3673,9335

LCM of Fractions 3673/28,9335/998 is 34287455/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 34287455

Least Common Multiple of 3673,9335 with GCF Formula

Least Common Multiple of 3673,9335 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 3673,9335 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3673,9335) = 1

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

GCF(3673,9335) x common factors =1 x 1 = 1

LCM(3673,9335) = ( 3673 × 9335 ) / 1

LCM(3673,9335) = 34287455 / 1

LCM(3673,9335) = 34287455


Lets's calculate GCF of 28,998

2 28, 998
14, 499

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34287455/2

Therefore the LCM of Fractions 3673/28,9335/998 is 34287455/2

Greatest Common Factor of 28,998 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,998 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Greatest Common Factor

We found the factors 28,998 . The biggest common factor number is the GCF number.
So the greatest common factor 28,998 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 3673/28, 9335/998

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 3673/28, 9335/998?

Answer: LCM of Numerators as per given numbers 3673/28, 9335/998 is

LCM of Numerators i.e. for 3673,9335 is 34287455

GCF of denominators i.e. for 28,998 is 2.

Thus, LCM of Fractions is 34287455/2.Finally, LCM of Fractions for 3673/28, 9335/998 is 34287455/2.