Least Common Multiple of 475/475, 2387/361

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 475/475, 2387/361 quickly i.e. 59675 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 475/475, 2387/361 is 59675.

LCM(475/475, 2387/361) = 59675

LCM of 475/475, 2387/361

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 475/475,2387/361

Given numbers are 475/475,2387/361

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 475,2387

Least Common Multiple of Numerators i.e. LCM of 475,2387 is 1133825.

GCF of Denominators means GCF of 475,361 as per the given fractions.

GCF of 475,361 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 475,2387

LCM of Fractions 475/475,2387/361 is 59675

Given numbers has no common factors except 1. So, there LCM is their product i.e 1133825

Least Common Multiple of 475,2387 with GCF Formula

Least Common Multiple of 475,2387 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 475,2387 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(475,2387) = 1

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

GCF(475,2387) x common factors =1 x 1 = 1

LCM(475,2387) = ( 475 × 2387 ) / 1

LCM(475,2387) = 1133825 / 1

LCM(475,2387) = 1133825


Lets's calculate GCF of 475,361

19 475, 361
25, 19

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1133825/19

Therefore the LCM of Fractions 475/475,2387/361 is 59675

Greatest Common Factor of 475,361 By Matching Biggest Common Factor Method

Greatest Common Factor of 475,361 By Matching Biggest Common Factor Method

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Greatest Common Factor

We found the factors 475,361 . The biggest common factor number is the GCF number.
So the greatest common factor 475,361 is 19.


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 475/475, 2387/361

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 475/475, 2387/361?

Answer: LCM of Numerators as per given numbers 475/475, 2387/361 is

LCM of Numerators i.e. for 475,2387 is 1133825

GCF of denominators i.e. for 475,361 is 19.

Thus, LCM of Fractions is 59675.Finally, LCM of Fractions for 475/475, 2387/361 is 59675.