Least Common Multiple of 7378/915, 6698/5614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7378/915, 6698/5614 quickly i.e. 1453466 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7378/915, 6698/5614 is 1453466.

LCM(7378/915, 6698/5614) = 1453466

LCM of 7378/915, 6698/5614

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 7378/915,6698/5614

Given numbers are 7378/915,6698/5614

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 7378,6698

Least Common Multiple of Numerators i.e. LCM of 7378,6698 is 1453466.

GCF of Denominators means GCF of 915,5614 as per the given fractions.

GCF of 915,5614 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7378,6698

LCM of Fractions 7378/915,6698/5614 is 1453466

2 7378, 6698
17 3689, 3349
217, 197

∴ So the LCM of the given numbers is 2 x 17 x 217 x 197 = 1453466

Least Common Multiple of 7378,6698 with GCF Formula

Least Common Multiple of 7378,6698 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 7378,6698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7378,6698) = 34

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

GCF(7378,6698) x common factors =34 x 1 = 34

LCM(7378,6698) = ( 7378 × 6698 ) / 34

LCM(7378,6698) = 49417844 / 34

LCM(7378,6698) = 1453466


Lets's calculate GCF of 915,5614

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1453466/1

Therefore the LCM of Fractions 7378/915,6698/5614 is 1453466

Greatest Common Factor of 915,5614 By Matching Biggest Common Factor Method

Greatest Common Factor of 915,5614 By Matching Biggest Common Factor Method

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Factors of 5614

List of positive integer factors of 5614 that divides 5614 without a remainder.

1,2,7,14,401,802,2807,5614

Greatest Common Factor

We found the factors 915,5614 . The biggest common factor number is the GCF number.
So the greatest common factor 915,5614 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 7378/915, 6698/5614

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 7378/915, 6698/5614?

Answer: LCM of Numerators as per given numbers 7378/915, 6698/5614 is

LCM of Numerators i.e. for 7378,6698 is 1453466

GCF of denominators i.e. for 915,5614 is 1.

Thus, LCM of Fractions is 1453466.Finally, LCM of Fractions for 7378/915, 6698/5614 is 1453466.