Least Common Multiple of 86/306, 79/250, 235/816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/306, 79/250, 235/816 quickly i.e. 798295 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/306, 79/250, 235/816 is 798295.

LCM(86/306, 79/250, 235/816) = 798295

LCM of 86/306, 79/250, 235/816

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 86/306,79/250,235/816

Given numbers are 86/306,79/250,235/816

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 86,79,235

Least Common Multiple of Numerators i.e. LCM of 86,79,235 is 1596590.

GCF of Denominators means GCF of 306,250,816 as per the given fractions.

GCF of 306,250,816 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,79,235

LCM of Fractions 86/306,79/250,235/816 is 798295

Given numbers has no common factors except 1. So, there LCM is their product i.e 1596590

Least Common Multiple of 86,79,235 with GCF Formula

Least Common Multiple of 86,79,235 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 86,79,235 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,79,235) = 1

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

GCF(86,79,235) x common factors =1 x 1 = 1

LCM(86,79,235) = ( 86 × 79 × 235 ) / 1

LCM(86,79,235) = 1596590 / 1

LCM(86,79,235) = 1596590


Lets's calculate GCF of 306,250,816

2 306, 250, 816
153, 125, 408

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1596590/2

Therefore the LCM of Fractions 86/306,79/250,235/816 is 798295

Greatest Common Factor of 306,250,816 By Matching Biggest Common Factor Method

Greatest Common Factor of 306,250,816 By Matching Biggest Common Factor Method

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Greatest Common Factor

We found the factors 306,250,816 . The biggest common factor number is the GCF number.
So the greatest common factor 306,250,816 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 86/306, 79/250, 235/816

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 86/306, 79/250, 235/816?

Answer: LCM of Numerators as per given numbers 86/306, 79/250, 235/816 is

LCM of Numerators i.e. for 86,79,235 is 1596590

GCF of denominators i.e. for 306,250,816 is 2.

Thus, LCM of Fractions is 798295.Finally, LCM of Fractions for 86/306, 79/250, 235/816 is 798295.