Least Common Multiple of 34/842, 86/940, 865/819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/842, 86/940, 865/819 quickly i.e. 1264630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/842, 86/940, 865/819 is 1264630.

LCM(34/842, 86/940, 865/819) = 1264630

LCM of 34/842, 86/940, 865/819

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 34/842,86/940,865/819

Given numbers are 34/842,86/940,865/819

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 34,86,865

Least Common Multiple of Numerators i.e. LCM of 34,86,865 is 1264630.

GCF of Denominators means GCF of 842,940,819 as per the given fractions.

GCF of 842,940,819 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,86,865

LCM of Fractions 34/842,86/940,865/819 is 1264630

2 34, 86, 865
17, 43, 865

∴ So the LCM of the given numbers is 2 x 17 x 43 x 865 = 1264630

Least Common Multiple of 34,86,865 with GCF Formula

Least Common Multiple of 34,86,865 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 34,86,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,86,865) = 1

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

GCF(34,86,865) x common factors =1 x 2 = 2

LCM(34,86,865) = ( 34 × 86 × 865 ) / 2

LCM(34,86,865) = 2529260 / 2

LCM(34,86,865) = 1264630


Lets's calculate GCF of 842,940,819

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1264630/1

Therefore the LCM of Fractions 34/842,86/940,865/819 is 1264630

Greatest Common Factor of 842,940,819 By Matching Biggest Common Factor Method

Greatest Common Factor of 842,940,819 By Matching Biggest Common Factor Method

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Greatest Common Factor

We found the factors 842,940,819 . The biggest common factor number is the GCF number.
So the greatest common factor 842,940,819 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 34/842, 86/940, 865/819

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 34/842, 86/940, 865/819?

Answer: LCM of Numerators as per given numbers 34/842, 86/940, 865/819 is

LCM of Numerators i.e. for 34,86,865 is 1264630

GCF of denominators i.e. for 842,940,819 is 1.

Thus, LCM of Fractions is 1264630.Finally, LCM of Fractions for 34/842, 86/940, 865/819 is 1264630.