Least Common Multiple of 82/203, 12/473, 477/598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/203, 12/473, 477/598 quickly i.e. 78228 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/203, 12/473, 477/598 is 78228.

LCM(82/203, 12/473, 477/598) = 78228

LCM of 82/203, 12/473, 477/598

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 82/203,12/473,477/598

Given numbers are 82/203,12/473,477/598

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 82,12,477

Least Common Multiple of Numerators i.e. LCM of 82,12,477 is 78228.

GCF of Denominators means GCF of 203,473,598 as per the given fractions.

GCF of 203,473,598 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,12,477

LCM of Fractions 82/203,12/473,477/598 is 78228

2 82, 12, 477
3 41, 6, 477
41, 2, 159

∴ So the LCM of the given numbers is 2 x 3 x 41 x 2 x 159 = 78228

Least Common Multiple of 82,12,477 with GCF Formula

Least Common Multiple of 82,12,477 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 82,12,477 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,12,477) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(82,12,477) x common factors =1 x 6 = 6

LCM(82,12,477) = ( 82 × 12 × 477 ) / 6

LCM(82,12,477) = 469368 / 6

LCM(82,12,477) = 78228


Lets's calculate GCF of 203,473,598

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78228/1

Therefore the LCM of Fractions 82/203,12/473,477/598 is 78228

Greatest Common Factor of 203,473,598 By Matching Biggest Common Factor Method

Greatest Common Factor of 203,473,598 By Matching Biggest Common Factor Method

Factors of 203

List of positive integer factors of 203 that divides 203 without a remainder.

1,7,29,203

Factors of 473

List of positive integer factors of 473 that divides 473 without a remainder.

1,11,43,473

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Greatest Common Factor

We found the factors 203,473,598 . The biggest common factor number is the GCF number.
So the greatest common factor 203,473,598 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 82/203, 12/473, 477/598

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 82/203, 12/473, 477/598?

Answer: LCM of Numerators as per given numbers 82/203, 12/473, 477/598 is

LCM of Numerators i.e. for 82,12,477 is 78228

GCF of denominators i.e. for 203,473,598 is 1.

Thus, LCM of Fractions is 78228.Finally, LCM of Fractions for 82/203, 12/473, 477/598 is 78228.