Least Common Multiple of 475/30, 482/56, 204/65

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 475/30, 482/56, 204/65 quickly i.e. 23352900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 475/30, 482/56, 204/65 is 23352900.

LCM(475/30, 482/56, 204/65) = 23352900

LCM of 475/30, 482/56, 204/65

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 475/30,482/56,204/65

Given numbers are 475/30,482/56,204/65

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 475,482,204

Least Common Multiple of Numerators i.e. LCM of 475,482,204 is 23352900.

GCF of Denominators means GCF of 30,56,65 as per the given fractions.

GCF of 30,56,65 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 475,482,204

LCM of Fractions 475/30,482/56,204/65 is 23352900

2 475, 482, 204
475, 241, 102

∴ So the LCM of the given numbers is 2 x 475 x 241 x 102 = 23352900

Least Common Multiple of 475,482,204 with GCF Formula

Least Common Multiple of 475,482,204 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 475,482,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(475,482,204) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(475,482,204) x common factors =1 x 2 = 2

LCM(475,482,204) = ( 475 × 482 × 204 ) / 2

LCM(475,482,204) = 46705800 / 2

LCM(475,482,204) = 23352900


Lets's calculate GCF of 30,56,65

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23352900/1

Therefore the LCM of Fractions 475/30,482/56,204/65 is 23352900

Greatest Common Factor of 30,56,65 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,56,65 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Greatest Common Factor

We found the factors 30,56,65 . The biggest common factor number is the GCF number.
So the greatest common factor 30,56,65 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 475/30, 482/56, 204/65

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 475/30, 482/56, 204/65?

Answer: LCM of Numerators as per given numbers 475/30, 482/56, 204/65 is

LCM of Numerators i.e. for 475,482,204 is 23352900

GCF of denominators i.e. for 30,56,65 is 1.

Thus, LCM of Fractions is 23352900.Finally, LCM of Fractions for 475/30, 482/56, 204/65 is 23352900.