Least Common Multiple of 9947/298, 3773/199

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9947/298, 3773/199 quickly i.e. 109417 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9947/298, 3773/199 is 109417.

LCM(9947/298, 3773/199) = 109417

LCM of 9947/298, 3773/199

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 9947/298,3773/199

Given numbers are 9947/298,3773/199

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 9947,3773

Least Common Multiple of Numerators i.e. LCM of 9947,3773 is 109417.

GCF of Denominators means GCF of 298,199 as per the given fractions.

GCF of 298,199 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9947,3773

LCM of Fractions 9947/298,3773/199 is 109417

7 9947, 3773
7 1421, 539
7 203, 77
29, 11

∴ So the LCM of the given numbers is 7 x 7 x 7 x 29 x 11 = 109417

Least Common Multiple of 9947,3773 with GCF Formula

Least Common Multiple of 9947,3773 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 9947,3773 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9947,3773) = 343

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

GCF(9947,3773) x common factors =343 x 1 = 343

LCM(9947,3773) = ( 9947 × 3773 ) / 343

LCM(9947,3773) = 37530031 / 343

LCM(9947,3773) = 109417


Lets's calculate GCF of 298,199

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109417/1

Therefore the LCM of Fractions 9947/298,3773/199 is 109417

Greatest Common Factor of 298,199 By Matching Biggest Common Factor Method

Greatest Common Factor of 298,199 By Matching Biggest Common Factor Method

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Factors of 199

List of positive integer factors of 199 that divides 199 without a remainder.

1,199

Greatest Common Factor

We found the factors 298,199 . The biggest common factor number is the GCF number.
So the greatest common factor 298,199 is 1.


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 9947/298, 3773/199

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 9947/298, 3773/199?

Answer: LCM of Numerators as per given numbers 9947/298, 3773/199 is

LCM of Numerators i.e. for 9947,3773 is 109417

GCF of denominators i.e. for 298,199 is 1.

Thus, LCM of Fractions is 109417.Finally, LCM of Fractions for 9947/298, 3773/199 is 109417.