Least Common Multiple of 410/82, 842/3738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 410/82, 842/3738 quickly i.e. 86305 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 410/82, 842/3738 is 86305.

LCM(410/82, 842/3738) = 86305

LCM of 410/82, 842/3738

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 410/82,842/3738

Given numbers are 410/82,842/3738

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 410,842

Least Common Multiple of Numerators i.e. LCM of 410,842 is 172610.

GCF of Denominators means GCF of 82,3738 as per the given fractions.

GCF of 82,3738 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 410,842

LCM of Fractions 410/82,842/3738 is 86305

2 410, 842
205, 421

∴ So the LCM of the given numbers is 2 x 205 x 421 = 172610

Least Common Multiple of 410,842 with GCF Formula

Least Common Multiple of 410,842 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 410,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(410,842) = 2

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

GCF(410,842) x common factors =2 x 1 = 2

LCM(410,842) = ( 410 × 842 ) / 2

LCM(410,842) = 345220 / 2

LCM(410,842) = 172610


Lets's calculate GCF of 82,3738

2 82, 3738
41, 1869

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 172610/2

Therefore the LCM of Fractions 410/82,842/3738 is 86305

Greatest Common Factor of 82,3738 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,3738 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 3738

List of positive integer factors of 3738 that divides 3738 without a remainder.

1,2,3,6,7,14,21,42,89,178,267,534,623,1246,1869,3738

Greatest Common Factor

We found the factors 82,3738 . The biggest common factor number is the GCF number.
So the greatest common factor 82,3738 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 410/82, 842/3738

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 410/82, 842/3738?

Answer: LCM of Numerators as per given numbers 410/82, 842/3738 is

LCM of Numerators i.e. for 410,842 is 172610

GCF of denominators i.e. for 82,3738 is 2.

Thus, LCM of Fractions is 86305.Finally, LCM of Fractions for 410/82, 842/3738 is 86305.