Least Common Multiple of 85/252, 93/410, 183/794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/252, 93/410, 183/794 quickly i.e. 482205/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/252, 93/410, 183/794 is 482205/2.

LCM(85/252, 93/410, 183/794) = 482205/2

LCM of 85/252, 93/410, 183/794

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 85/252,93/410,183/794

Given numbers are 85/252,93/410,183/794

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 85,93,183

Least Common Multiple of Numerators i.e. LCM of 85,93,183 is 482205.

GCF of Denominators means GCF of 252,410,794 as per the given fractions.

GCF of 252,410,794 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,93,183

LCM of Fractions 85/252,93/410,183/794 is 482205/2

3 85, 93, 183
85, 31, 61

∴ So the LCM of the given numbers is 3 x 85 x 31 x 61 = 482205

Least Common Multiple of 85,93,183 with GCF Formula

Least Common Multiple of 85,93,183 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 85,93,183 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,93,183) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(85,93,183) x common factors =1 x 3 = 3

LCM(85,93,183) = ( 85 × 93 × 183 ) / 3

LCM(85,93,183) = 1446615 / 3

LCM(85,93,183) = 482205


Lets's calculate GCF of 252,410,794

2 252, 410, 794
126, 205, 397

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 482205/2

Therefore the LCM of Fractions 85/252,93/410,183/794 is 482205/2

Greatest Common Factor of 252,410,794 By Matching Biggest Common Factor Method

Greatest Common Factor of 252,410,794 By Matching Biggest Common Factor Method

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Greatest Common Factor

We found the factors 252,410,794 . The biggest common factor number is the GCF number.
So the greatest common factor 252,410,794 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 85/252, 93/410, 183/794

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 85/252, 93/410, 183/794?

Answer: LCM of Numerators as per given numbers 85/252, 93/410, 183/794 is

LCM of Numerators i.e. for 85,93,183 is 482205

GCF of denominators i.e. for 252,410,794 is 2.

Thus, LCM of Fractions is 482205/2.Finally, LCM of Fractions for 85/252, 93/410, 183/794 is 482205/2.