Least Common Multiple of 831/82, 456/3404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 831/82, 456/3404 quickly i.e. 63156 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 831/82, 456/3404 is 63156.

LCM(831/82, 456/3404) = 63156

LCM of 831/82, 456/3404

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 831/82,456/3404

Given numbers are 831/82,456/3404

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 831,456

Least Common Multiple of Numerators i.e. LCM of 831,456 is 126312.

GCF of Denominators means GCF of 82,3404 as per the given fractions.

GCF of 82,3404 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 831,456

LCM of Fractions 831/82,456/3404 is 63156

3 831, 456
277, 152

∴ So the LCM of the given numbers is 3 x 277 x 152 = 126312

Least Common Multiple of 831,456 with GCF Formula

Least Common Multiple of 831,456 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 831,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(831,456) = 3

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

GCF(831,456) x common factors =3 x 1 = 3

LCM(831,456) = ( 831 × 456 ) / 3

LCM(831,456) = 378936 / 3

LCM(831,456) = 126312


Lets's calculate GCF of 82,3404

2 82, 3404
41, 1702

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 126312/2

Therefore the LCM of Fractions 831/82,456/3404 is 63156

Greatest Common Factor of 82,3404 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,3404 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 3404

List of positive integer factors of 3404 that divides 3404 without a remainder.

1,2,4,23,37,46,74,92,148,851,1702,3404

Greatest Common Factor

We found the factors 82,3404 . The biggest common factor number is the GCF number.
So the greatest common factor 82,3404 is 2.


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 831/82, 456/3404

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 831/82, 456/3404?

Answer: LCM of Numerators as per given numbers 831/82, 456/3404 is

LCM of Numerators i.e. for 831,456 is 126312

GCF of denominators i.e. for 82,3404 is 2.

Thus, LCM of Fractions is 63156.Finally, LCM of Fractions for 831/82, 456/3404 is 63156.