Least Common Multiple of 805/93, 216/17, 342/863

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 805/93, 216/17, 342/863 quickly i.e. 3303720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 805/93, 216/17, 342/863 is 3303720.

LCM(805/93, 216/17, 342/863) = 3303720

LCM of 805/93, 216/17, 342/863

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 805/93,216/17,342/863

Given numbers are 805/93,216/17,342/863

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 805,216,342

Least Common Multiple of Numerators i.e. LCM of 805,216,342 is 3303720.

GCF of Denominators means GCF of 93,17,863 as per the given fractions.

GCF of 93,17,863 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 805,216,342

LCM of Fractions 805/93,216/17,342/863 is 3303720

2 805, 216, 342
3 805, 108, 171
3 805, 36, 57
805, 12, 19

∴ So the LCM of the given numbers is 2 x 3 x 3 x 805 x 12 x 19 = 3303720

Least Common Multiple of 805,216,342 with GCF Formula

Least Common Multiple of 805,216,342 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 805,216,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(805,216,342) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(805,216,342) x common factors =1 x 18 = 18

LCM(805,216,342) = ( 805 × 216 × 342 ) / 18

LCM(805,216,342) = 59466960 / 18

LCM(805,216,342) = 3303720


Lets's calculate GCF of 93,17,863

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3303720/1

Therefore the LCM of Fractions 805/93,216/17,342/863 is 3303720

Greatest Common Factor of 93,17,863 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,17,863 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 863

List of positive integer factors of 863 that divides 863 without a remainder.

1,863

Greatest Common Factor

We found the factors 93,17,863 . The biggest common factor number is the GCF number.
So the greatest common factor 93,17,863 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 805/93, 216/17, 342/863

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 805/93, 216/17, 342/863?

Answer: LCM of Numerators as per given numbers 805/93, 216/17, 342/863 is

LCM of Numerators i.e. for 805,216,342 is 3303720

GCF of denominators i.e. for 93,17,863 is 1.

Thus, LCM of Fractions is 3303720.Finally, LCM of Fractions for 805/93, 216/17, 342/863 is 3303720.