Least Common Multiple of 85/800, 17/356, 516/216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/800, 17/356, 516/216 quickly i.e. 10965 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/800, 17/356, 516/216 is 10965.

LCM(85/800, 17/356, 516/216) = 10965

LCM of 85/800, 17/356, 516/216

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 85/800,17/356,516/216

Given numbers are 85/800,17/356,516/216

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 85,17,516

Least Common Multiple of Numerators i.e. LCM of 85,17,516 is 43860.

GCF of Denominators means GCF of 800,356,216 as per the given fractions.

GCF of 800,356,216 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,17,516

LCM of Fractions 85/800,17/356,516/216 is 10965

17 85, 17, 516
5, 1, 516

∴ So the LCM of the given numbers is 17 x 5 x 1 x 516 = 43860

Least Common Multiple of 85,17,516 with GCF Formula

Least Common Multiple of 85,17,516 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 85,17,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,17,516) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(85,17,516) x common factors =1 x 17 = 17

LCM(85,17,516) = ( 85 × 17 × 516 ) / 17

LCM(85,17,516) = 745620 / 17

LCM(85,17,516) = 43860


Lets's calculate GCF of 800,356,216

2 800, 356, 216
2 400, 178, 108
200, 89, 54

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43860/4

Therefore the LCM of Fractions 85/800,17/356,516/216 is 10965

Greatest Common Factor of 800,356,216 By Matching Biggest Common Factor Method

Greatest Common Factor of 800,356,216 By Matching Biggest Common Factor Method

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Greatest Common Factor

We found the factors 800,356,216 . The biggest common factor number is the GCF number.
So the greatest common factor 800,356,216 is 4.


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 85/800, 17/356, 516/216

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 85/800, 17/356, 516/216?

Answer: LCM of Numerators as per given numbers 85/800, 17/356, 516/216 is

LCM of Numerators i.e. for 85,17,516 is 43860

GCF of denominators i.e. for 800,356,216 is 4.

Thus, LCM of Fractions is 10965.Finally, LCM of Fractions for 85/800, 17/356, 516/216 is 10965.