Least Common Multiple of 308/82, 817/851

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 308/82, 817/851 quickly i.e. 251636 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 308/82, 817/851 is 251636.

LCM(308/82, 817/851) = 251636

LCM of 308/82, 817/851

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 308/82,817/851

Given numbers are 308/82,817/851

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 308,817

Least Common Multiple of Numerators i.e. LCM of 308,817 is 251636.

GCF of Denominators means GCF of 82,851 as per the given fractions.

GCF of 82,851 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 308,817

LCM of Fractions 308/82,817/851 is 251636

Given numbers has no common factors except 1. So, there LCM is their product i.e 251636

Least Common Multiple of 308,817 with GCF Formula

Least Common Multiple of 308,817 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 308,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(308,817) = 1

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

GCF(308,817) x common factors =1 x 1 = 1

LCM(308,817) = ( 308 × 817 ) / 1

LCM(308,817) = 251636 / 1

LCM(308,817) = 251636


Lets's calculate GCF of 82,851

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 251636/1

Therefore the LCM of Fractions 308/82,817/851 is 251636

Greatest Common Factor of 82,851 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,851 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 851

List of positive integer factors of 851 that divides 851 without a remainder.

1,23,37,851

Greatest Common Factor

We found the factors 82,851 . The biggest common factor number is the GCF number.
So the greatest common factor 82,851 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 308/82, 817/851

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 308/82, 817/851?

Answer: LCM of Numerators as per given numbers 308/82, 817/851 is

LCM of Numerators i.e. for 308,817 is 251636

GCF of denominators i.e. for 82,851 is 1.

Thus, LCM of Fractions is 251636.Finally, LCM of Fractions for 308/82, 817/851 is 251636.