Least Common Multiple of 284/26, 396/27, 162/77

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 284/26, 396/27, 162/77 quickly i.e. 253044 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 284/26, 396/27, 162/77 is 253044.

LCM(284/26, 396/27, 162/77) = 253044

LCM of 284/26, 396/27, 162/77

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 284/26,396/27,162/77

Given numbers are 284/26,396/27,162/77

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 284,396,162

Least Common Multiple of Numerators i.e. LCM of 284,396,162 is 253044.

GCF of Denominators means GCF of 26,27,77 as per the given fractions.

GCF of 26,27,77 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 284,396,162

LCM of Fractions 284/26,396/27,162/77 is 253044

2 284, 396, 162
2 142, 198, 81
3 71, 99, 81
3 71, 33, 27
71, 11, 9

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 71 x 11 x 9 = 253044

Least Common Multiple of 284,396,162 with GCF Formula

Least Common Multiple of 284,396,162 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 284,396,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(284,396,162) = 2

common factors(in case of two or more numbers have common factors) = 36

GCF(284,396,162) x common factors =2 x 36 = 72

LCM(284,396,162) = ( 284 × 396 × 162 ) / 72

LCM(284,396,162) = 18219168 / 72

LCM(284,396,162) = 253044


Lets's calculate GCF of 26,27,77

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 253044/1

Therefore the LCM of Fractions 284/26,396/27,162/77 is 253044

Greatest Common Factor of 26,27,77 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,27,77 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Greatest Common Factor

We found the factors 26,27,77 . The biggest common factor number is the GCF number.
So the greatest common factor 26,27,77 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 284/26, 396/27, 162/77

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 284/26, 396/27, 162/77?

Answer: LCM of Numerators as per given numbers 284/26, 396/27, 162/77 is

LCM of Numerators i.e. for 284,396,162 is 253044

GCF of denominators i.e. for 26,27,77 is 1.

Thus, LCM of Fractions is 253044.Finally, LCM of Fractions for 284/26, 396/27, 162/77 is 253044.