Least Common Multiple of 309/57, 861/8463

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 309/57, 861/8463 quickly i.e. 29561 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 309/57, 861/8463 is 29561.

LCM(309/57, 861/8463) = 29561

LCM of 309/57, 861/8463

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 309/57,861/8463

Given numbers are 309/57,861/8463

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 309,861

Least Common Multiple of Numerators i.e. LCM of 309,861 is 88683.

GCF of Denominators means GCF of 57,8463 as per the given fractions.

GCF of 57,8463 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 309,861

LCM of Fractions 309/57,861/8463 is 29561

3 309, 861
103, 287

∴ So the LCM of the given numbers is 3 x 103 x 287 = 88683

Least Common Multiple of 309,861 with GCF Formula

Least Common Multiple of 309,861 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 309,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(309,861) = 3

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

GCF(309,861) x common factors =3 x 1 = 3

LCM(309,861) = ( 309 × 861 ) / 3

LCM(309,861) = 266049 / 3

LCM(309,861) = 88683


Lets's calculate GCF of 57,8463

3 57, 8463
19, 2821

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88683/3

Therefore the LCM of Fractions 309/57,861/8463 is 29561

Greatest Common Factor of 57,8463 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,8463 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 8463

List of positive integer factors of 8463 that divides 8463 without a remainder.

1,3,7,13,21,31,39,91,93,217,273,403,651,1209,2821,8463

Greatest Common Factor

We found the factors 57,8463 . The biggest common factor number is the GCF number.
So the greatest common factor 57,8463 is 3.


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 309/57, 861/8463

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 309/57, 861/8463?

Answer: LCM of Numerators as per given numbers 309/57, 861/8463 is

LCM of Numerators i.e. for 309,861 is 88683

GCF of denominators i.e. for 57,8463 is 3.

Thus, LCM of Fractions is 29561.Finally, LCM of Fractions for 309/57, 861/8463 is 29561.