Least Common Multiple of 5264/306, 9857/867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5264/306, 9857/867 quickly i.e. 51887248/51 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5264/306, 9857/867 is 51887248/51.

LCM(5264/306, 9857/867) = 51887248/51

LCM of 5264/306, 9857/867

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 5264/306,9857/867

Given numbers are 5264/306,9857/867

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 5264,9857

Least Common Multiple of Numerators i.e. LCM of 5264,9857 is 51887248.

GCF of Denominators means GCF of 306,867 as per the given fractions.

GCF of 306,867 is 51 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5264,9857

LCM of Fractions 5264/306,9857/867 is 51887248/51

Given numbers has no common factors except 1. So, there LCM is their product i.e 51887248

Least Common Multiple of 5264,9857 with GCF Formula

Least Common Multiple of 5264,9857 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 5264,9857 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5264,9857) = 1

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

GCF(5264,9857) x common factors =1 x 1 = 1

LCM(5264,9857) = ( 5264 × 9857 ) / 1

LCM(5264,9857) = 51887248 / 1

LCM(5264,9857) = 51887248


Lets's calculate GCF of 306,867

3 306, 867
17 102, 289
6, 17

∴ So the GCF of the given numbers is 3 x 17 = 51

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51887248/51

Therefore the LCM of Fractions 5264/306,9857/867 is 51887248/51

Greatest Common Factor of 306,867 By Matching Biggest Common Factor Method

Greatest Common Factor of 306,867 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 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Greatest Common Factor

We found the factors 306,867 . The biggest common factor number is the GCF number.
So the greatest common factor 306,867 is 51.


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 5264/306, 9857/867

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 5264/306, 9857/867?

Answer: LCM of Numerators as per given numbers 5264/306, 9857/867 is

LCM of Numerators i.e. for 5264,9857 is 51887248

GCF of denominators i.e. for 306,867 is 51.

Thus, LCM of Fractions is 51887248/51.Finally, LCM of Fractions for 5264/306, 9857/867 is 51887248/51.