Least Common Multiple of 7337/300, 8054/614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7337/300, 8054/614 quickly i.e. 29546099 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7337/300, 8054/614 is 29546099.

LCM(7337/300, 8054/614) = 29546099

LCM of 7337/300, 8054/614

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 7337/300,8054/614

Given numbers are 7337/300,8054/614

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 7337,8054

Least Common Multiple of Numerators i.e. LCM of 7337,8054 is 59092198.

GCF of Denominators means GCF of 300,614 as per the given fractions.

GCF of 300,614 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7337,8054

LCM of Fractions 7337/300,8054/614 is 29546099

Given numbers has no common factors except 1. So, there LCM is their product i.e 59092198

Least Common Multiple of 7337,8054 with GCF Formula

Least Common Multiple of 7337,8054 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 7337,8054 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7337,8054) = 1

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

GCF(7337,8054) x common factors =1 x 1 = 1

LCM(7337,8054) = ( 7337 × 8054 ) / 1

LCM(7337,8054) = 59092198 / 1

LCM(7337,8054) = 59092198


Lets's calculate GCF of 300,614

2 300, 614
150, 307

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59092198/2

Therefore the LCM of Fractions 7337/300,8054/614 is 29546099

Greatest Common Factor of 300,614 By Matching Biggest Common Factor Method

Greatest Common Factor of 300,614 By Matching Biggest Common Factor Method

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Greatest Common Factor

We found the factors 300,614 . The biggest common factor number is the GCF number.
So the greatest common factor 300,614 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 7337/300, 8054/614

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 7337/300, 8054/614?

Answer: LCM of Numerators as per given numbers 7337/300, 8054/614 is

LCM of Numerators i.e. for 7337,8054 is 59092198

GCF of denominators i.e. for 300,614 is 2.

Thus, LCM of Fractions is 29546099.Finally, LCM of Fractions for 7337/300, 8054/614 is 29546099.