Least Common Multiple of 82/163, 8972/8563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/163, 8972/8563 quickly i.e. 367852 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/163, 8972/8563 is 367852.

LCM(82/163, 8972/8563) = 367852

LCM of 82/163, 8972/8563

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 82/163,8972/8563

Given numbers are 82/163,8972/8563

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 82,8972

Least Common Multiple of Numerators i.e. LCM of 82,8972 is 367852.

GCF of Denominators means GCF of 163,8563 as per the given fractions.

GCF of 163,8563 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,8972

LCM of Fractions 82/163,8972/8563 is 367852

2 82, 8972
41, 4486

∴ So the LCM of the given numbers is 2 x 41 x 4486 = 367852

Least Common Multiple of 82,8972 with GCF Formula

Least Common Multiple of 82,8972 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 82,8972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,8972) = 2

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

GCF(82,8972) x common factors =2 x 1 = 2

LCM(82,8972) = ( 82 × 8972 ) / 2

LCM(82,8972) = 735704 / 2

LCM(82,8972) = 367852


Lets's calculate GCF of 163,8563

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 367852/1

Therefore the LCM of Fractions 82/163,8972/8563 is 367852

Greatest Common Factor of 163,8563 By Matching Biggest Common Factor Method

Greatest Common Factor of 163,8563 By Matching Biggest Common Factor Method

Factors of 163

List of positive integer factors of 163 that divides 163 without a remainder.

1,163

Factors of 8563

List of positive integer factors of 8563 that divides 8563 without a remainder.

1,8563

Greatest Common Factor

We found the factors 163,8563 . The biggest common factor number is the GCF number.
So the greatest common factor 163,8563 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 82/163, 8972/8563

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 82/163, 8972/8563?

Answer: LCM of Numerators as per given numbers 82/163, 8972/8563 is

LCM of Numerators i.e. for 82,8972 is 367852

GCF of denominators i.e. for 163,8563 is 1.

Thus, LCM of Fractions is 367852.Finally, LCM of Fractions for 82/163, 8972/8563 is 367852.