Least Common Multiple of 82/162, 40/285, 893/417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/162, 40/285, 893/417 quickly i.e. 1464520/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/162, 40/285, 893/417 is 1464520/3.

LCM(82/162, 40/285, 893/417) = 1464520/3

LCM of 82/162, 40/285, 893/417

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 82/162,40/285,893/417

Given numbers are 82/162,40/285,893/417

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 82,40,893

Least Common Multiple of Numerators i.e. LCM of 82,40,893 is 1464520.

GCF of Denominators means GCF of 162,285,417 as per the given fractions.

GCF of 162,285,417 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,40,893

LCM of Fractions 82/162,40/285,893/417 is 1464520/3

2 82, 40, 893
41, 20, 893

∴ So the LCM of the given numbers is 2 x 41 x 20 x 893 = 1464520

Least Common Multiple of 82,40,893 with GCF Formula

Least Common Multiple of 82,40,893 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 82,40,893 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,40,893) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(82,40,893) x common factors =1 x 2 = 2

LCM(82,40,893) = ( 82 × 40 × 893 ) / 2

LCM(82,40,893) = 2929040 / 2

LCM(82,40,893) = 1464520


Lets's calculate GCF of 162,285,417

3 162, 285, 417
54, 95, 139

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1464520/3

Therefore the LCM of Fractions 82/162,40/285,893/417 is 1464520/3

Greatest Common Factor of 162,285,417 By Matching Biggest Common Factor Method

Greatest Common Factor of 162,285,417 By Matching Biggest Common Factor Method

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Factors of 417

List of positive integer factors of 417 that divides 417 without a remainder.

1,3,139,417

Greatest Common Factor

We found the factors 162,285,417 . The biggest common factor number is the GCF number.
So the greatest common factor 162,285,417 is 3.


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 82/162, 40/285, 893/417

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 82/162, 40/285, 893/417?

Answer: LCM of Numerators as per given numbers 82/162, 40/285, 893/417 is

LCM of Numerators i.e. for 82,40,893 is 1464520

GCF of denominators i.e. for 162,285,417 is 3.

Thus, LCM of Fractions is 1464520/3.Finally, LCM of Fractions for 82/162, 40/285, 893/417 is 1464520/3.