Least Common Multiple of 8300/984, 5407/3342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8300/984, 5407/3342 quickly i.e. 44878100/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8300/984, 5407/3342 is 44878100/6.

LCM(8300/984, 5407/3342) = 44878100/6

LCM of 8300/984, 5407/3342

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 8300/984,5407/3342

Given numbers are 8300/984,5407/3342

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 8300,5407

Least Common Multiple of Numerators i.e. LCM of 8300,5407 is 44878100.

GCF of Denominators means GCF of 984,3342 as per the given fractions.

GCF of 984,3342 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8300,5407

LCM of Fractions 8300/984,5407/3342 is 44878100/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 44878100

Least Common Multiple of 8300,5407 with GCF Formula

Least Common Multiple of 8300,5407 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 8300,5407 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8300,5407) = 1

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

GCF(8300,5407) x common factors =1 x 1 = 1

LCM(8300,5407) = ( 8300 × 5407 ) / 1

LCM(8300,5407) = 44878100 / 1

LCM(8300,5407) = 44878100


Lets's calculate GCF of 984,3342

2 984, 3342
3 492, 1671
164, 557

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44878100/6

Therefore the LCM of Fractions 8300/984,5407/3342 is 44878100/6

Greatest Common Factor of 984,3342 By Matching Biggest Common Factor Method

Greatest Common Factor of 984,3342 By Matching Biggest Common Factor Method

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Factors of 3342

List of positive integer factors of 3342 that divides 3342 without a remainder.

1,2,3,6,557,1114,1671,3342

Greatest Common Factor

We found the factors 984,3342 . The biggest common factor number is the GCF number.
So the greatest common factor 984,3342 is 6.


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 8300/984, 5407/3342

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 8300/984, 5407/3342?

Answer: LCM of Numerators as per given numbers 8300/984, 5407/3342 is

LCM of Numerators i.e. for 8300,5407 is 44878100

GCF of denominators i.e. for 984,3342 is 6.

Thus, LCM of Fractions is 44878100/6.Finally, LCM of Fractions for 8300/984, 5407/3342 is 44878100/6.