Least Common Multiple of 594/465, 7361/9435

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 594/465, 7361/9435 quickly i.e. 4372434/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 594/465, 7361/9435 is 4372434/15.

LCM(594/465, 7361/9435) = 4372434/15

LCM of 594/465, 7361/9435

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 594/465,7361/9435

Given numbers are 594/465,7361/9435

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 594,7361

Least Common Multiple of Numerators i.e. LCM of 594,7361 is 4372434.

GCF of Denominators means GCF of 465,9435 as per the given fractions.

GCF of 465,9435 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 594,7361

LCM of Fractions 594/465,7361/9435 is 4372434/15

Given numbers has no common factors except 1. So, there LCM is their product i.e 4372434

Least Common Multiple of 594,7361 with GCF Formula

Least Common Multiple of 594,7361 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 594,7361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(594,7361) = 1

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

GCF(594,7361) x common factors =1 x 1 = 1

LCM(594,7361) = ( 594 × 7361 ) / 1

LCM(594,7361) = 4372434 / 1

LCM(594,7361) = 4372434


Lets's calculate GCF of 465,9435

3 465, 9435
5 155, 3145
31, 629

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4372434/15

Therefore the LCM of Fractions 594/465,7361/9435 is 4372434/15

Greatest Common Factor of 465,9435 By Matching Biggest Common Factor Method

Greatest Common Factor of 465,9435 By Matching Biggest Common Factor Method

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 9435

List of positive integer factors of 9435 that divides 9435 without a remainder.

1,3,5,15,17,37,51,85,111,185,255,555,629,1887,3145,9435

Greatest Common Factor

We found the factors 465,9435 . The biggest common factor number is the GCF number.
So the greatest common factor 465,9435 is 15.


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 594/465, 7361/9435

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 594/465, 7361/9435?

Answer: LCM of Numerators as per given numbers 594/465, 7361/9435 is

LCM of Numerators i.e. for 594,7361 is 4372434

GCF of denominators i.e. for 465,9435 is 15.

Thus, LCM of Fractions is 4372434/15.Finally, LCM of Fractions for 594/465, 7361/9435 is 4372434/15.