Least Common Multiple of 84/407, 93/225, 396/826

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/407, 93/225, 396/826 quickly i.e. 85932 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/407, 93/225, 396/826 is 85932.

LCM(84/407, 93/225, 396/826) = 85932

LCM of 84/407, 93/225, 396/826

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 84/407,93/225,396/826

Given numbers are 84/407,93/225,396/826

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 84,93,396

Least Common Multiple of Numerators i.e. LCM of 84,93,396 is 85932.

GCF of Denominators means GCF of 407,225,826 as per the given fractions.

GCF of 407,225,826 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,93,396

LCM of Fractions 84/407,93/225,396/826 is 85932

2 84, 93, 396
2 42, 93, 198
3 21, 93, 99
7, 31, 33

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 31 x 33 = 85932

Least Common Multiple of 84,93,396 with GCF Formula

Least Common Multiple of 84,93,396 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 84,93,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,93,396) = 3

common factors(in case of two or more numbers have common factors) = 12

GCF(84,93,396) x common factors =3 x 12 = 36

LCM(84,93,396) = ( 84 × 93 × 396 ) / 36

LCM(84,93,396) = 3093552 / 36

LCM(84,93,396) = 85932


Lets's calculate GCF of 407,225,826

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 85932/1

Therefore the LCM of Fractions 84/407,93/225,396/826 is 85932

Greatest Common Factor of 407,225,826 By Matching Biggest Common Factor Method

Greatest Common Factor of 407,225,826 By Matching Biggest Common Factor Method

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Greatest Common Factor

We found the factors 407,225,826 . The biggest common factor number is the GCF number.
So the greatest common factor 407,225,826 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 84/407, 93/225, 396/826

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 84/407, 93/225, 396/826?

Answer: LCM of Numerators as per given numbers 84/407, 93/225, 396/826 is

LCM of Numerators i.e. for 84,93,396 is 85932

GCF of denominators i.e. for 407,225,826 is 1.

Thus, LCM of Fractions is 85932.Finally, LCM of Fractions for 84/407, 93/225, 396/826 is 85932.