Least Common Multiple of 5794/714, 7368/7595

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5794/714, 7368/7595 quickly i.e. 21345096/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5794/714, 7368/7595 is 21345096/7.

LCM(5794/714, 7368/7595) = 21345096/7

LCM of 5794/714, 7368/7595

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 5794/714,7368/7595

Given numbers are 5794/714,7368/7595

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 5794,7368

Least Common Multiple of Numerators i.e. LCM of 5794,7368 is 21345096.

GCF of Denominators means GCF of 714,7595 as per the given fractions.

GCF of 714,7595 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5794,7368

LCM of Fractions 5794/714,7368/7595 is 21345096/7

2 5794, 7368
2897, 3684

∴ So the LCM of the given numbers is 2 x 2897 x 3684 = 21345096

Least Common Multiple of 5794,7368 with GCF Formula

Least Common Multiple of 5794,7368 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 5794,7368 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5794,7368) = 2

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

GCF(5794,7368) x common factors =2 x 1 = 2

LCM(5794,7368) = ( 5794 × 7368 ) / 2

LCM(5794,7368) = 42690192 / 2

LCM(5794,7368) = 21345096


Lets's calculate GCF of 714,7595

7 714, 7595
102, 1085

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21345096/7

Therefore the LCM of Fractions 5794/714,7368/7595 is 21345096/7

Greatest Common Factor of 714,7595 By Matching Biggest Common Factor Method

Greatest Common Factor of 714,7595 By Matching Biggest Common Factor Method

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Factors of 7595

List of positive integer factors of 7595 that divides 7595 without a remainder.

1,5,7,31,35,49,155,217,245,1085,1519,7595

Greatest Common Factor

We found the factors 714,7595 . The biggest common factor number is the GCF number.
So the greatest common factor 714,7595 is 7.


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 5794/714, 7368/7595

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 5794/714, 7368/7595?

Answer: LCM of Numerators as per given numbers 5794/714, 7368/7595 is

LCM of Numerators i.e. for 5794,7368 is 21345096

GCF of denominators i.e. for 714,7595 is 7.

Thus, LCM of Fractions is 21345096/7.Finally, LCM of Fractions for 5794/714, 7368/7595 is 21345096/7.