Least Common Multiple of 82/324, 263/455, 791/598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/324, 263/455, 791/598 quickly i.e. 17058706 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/324, 263/455, 791/598 is 17058706.

LCM(82/324, 263/455, 791/598) = 17058706

LCM of 82/324, 263/455, 791/598

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 82/324,263/455,791/598

Given numbers are 82/324,263/455,791/598

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 82,263,791

Least Common Multiple of Numerators i.e. LCM of 82,263,791 is 17058706.

GCF of Denominators means GCF of 324,455,598 as per the given fractions.

GCF of 324,455,598 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,263,791

LCM of Fractions 82/324,263/455,791/598 is 17058706

Given numbers has no common factors except 1. So, there LCM is their product i.e 17058706

Least Common Multiple of 82,263,791 with GCF Formula

Least Common Multiple of 82,263,791 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 82,263,791 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,263,791) = 1

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

GCF(82,263,791) x common factors =1 x 1 = 1

LCM(82,263,791) = ( 82 × 263 × 791 ) / 1

LCM(82,263,791) = 17058706 / 1

LCM(82,263,791) = 17058706


Lets's calculate GCF of 324,455,598

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17058706/1

Therefore the LCM of Fractions 82/324,263/455,791/598 is 17058706

Greatest Common Factor of 324,455,598 By Matching Biggest Common Factor Method

Greatest Common Factor of 324,455,598 By Matching Biggest Common Factor Method

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

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 324,455,598 . The biggest common factor number is the GCF number.
So the greatest common factor 324,455,598 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 82/324, 263/455, 791/598

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 82/324, 263/455, 791/598?

Answer: LCM of Numerators as per given numbers 82/324, 263/455, 791/598 is

LCM of Numerators i.e. for 82,263,791 is 17058706

GCF of denominators i.e. for 324,455,598 is 1.

Thus, LCM of Fractions is 17058706.Finally, LCM of Fractions for 82/324, 263/455, 791/598 is 17058706.