Least Common Multiple of 9946/328, 8284/975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9946/328, 8284/975 quickly i.e. 41196332 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9946/328, 8284/975 is 41196332.

LCM(9946/328, 8284/975) = 41196332

LCM of 9946/328, 8284/975

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 9946/328,8284/975

Given numbers are 9946/328,8284/975

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 9946,8284

Least Common Multiple of Numerators i.e. LCM of 9946,8284 is 41196332.

GCF of Denominators means GCF of 328,975 as per the given fractions.

GCF of 328,975 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9946,8284

LCM of Fractions 9946/328,8284/975 is 41196332

2 9946, 8284
4973, 4142

∴ So the LCM of the given numbers is 2 x 4973 x 4142 = 41196332

Least Common Multiple of 9946,8284 with GCF Formula

Least Common Multiple of 9946,8284 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 9946,8284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9946,8284) = 2

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

GCF(9946,8284) x common factors =2 x 1 = 2

LCM(9946,8284) = ( 9946 × 8284 ) / 2

LCM(9946,8284) = 82392664 / 2

LCM(9946,8284) = 41196332


Lets's calculate GCF of 328,975

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41196332/1

Therefore the LCM of Fractions 9946/328,8284/975 is 41196332

Greatest Common Factor of 328,975 By Matching Biggest Common Factor Method

Greatest Common Factor of 328,975 By Matching Biggest Common Factor Method

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Greatest Common Factor

We found the factors 328,975 . The biggest common factor number is the GCF number.
So the greatest common factor 328,975 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 9946/328, 8284/975

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 9946/328, 8284/975?

Answer: LCM of Numerators as per given numbers 9946/328, 8284/975 is

LCM of Numerators i.e. for 9946,8284 is 41196332

GCF of denominators i.e. for 328,975 is 1.

Thus, LCM of Fractions is 41196332.Finally, LCM of Fractions for 9946/328, 8284/975 is 41196332.