Least Common Multiple of 82/456, 3932/3613

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/456, 3932/3613 quickly i.e. 161212 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/456, 3932/3613 is 161212.

LCM(82/456, 3932/3613) = 161212

LCM of 82/456, 3932/3613

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 82/456,3932/3613

Given numbers are 82/456,3932/3613

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 82,3932

Least Common Multiple of Numerators i.e. LCM of 82,3932 is 161212.

GCF of Denominators means GCF of 456,3613 as per the given fractions.

GCF of 456,3613 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,3932

LCM of Fractions 82/456,3932/3613 is 161212

2 82, 3932
41, 1966

∴ So the LCM of the given numbers is 2 x 41 x 1966 = 161212

Least Common Multiple of 82,3932 with GCF Formula

Least Common Multiple of 82,3932 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 82,3932 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,3932) = 2

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

GCF(82,3932) x common factors =2 x 1 = 2

LCM(82,3932) = ( 82 × 3932 ) / 2

LCM(82,3932) = 322424 / 2

LCM(82,3932) = 161212


Lets's calculate GCF of 456,3613

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 161212/1

Therefore the LCM of Fractions 82/456,3932/3613 is 161212

Greatest Common Factor of 456,3613 By Matching Biggest Common Factor Method

Greatest Common Factor of 456,3613 By Matching Biggest Common Factor Method

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 3613

List of positive integer factors of 3613 that divides 3613 without a remainder.

1,3613

Greatest Common Factor

We found the factors 456,3613 . The biggest common factor number is the GCF number.
So the greatest common factor 456,3613 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 82/456, 3932/3613

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 82/456, 3932/3613?

Answer: LCM of Numerators as per given numbers 82/456, 3932/3613 is

LCM of Numerators i.e. for 82,3932 is 161212

GCF of denominators i.e. for 456,3613 is 1.

Thus, LCM of Fractions is 161212.Finally, LCM of Fractions for 82/456, 3932/3613 is 161212.