Least Common Multiple of 4983/978, 9258/6383

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4983/978, 9258/6383 quickly i.e. 15377538 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4983/978, 9258/6383 is 15377538.

LCM(4983/978, 9258/6383) = 15377538

LCM of 4983/978, 9258/6383

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 4983/978,9258/6383

Given numbers are 4983/978,9258/6383

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 4983,9258

Least Common Multiple of Numerators i.e. LCM of 4983,9258 is 15377538.

GCF of Denominators means GCF of 978,6383 as per the given fractions.

GCF of 978,6383 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4983,9258

LCM of Fractions 4983/978,9258/6383 is 15377538

3 4983, 9258
1661, 3086

∴ So the LCM of the given numbers is 3 x 1661 x 3086 = 15377538

Least Common Multiple of 4983,9258 with GCF Formula

Least Common Multiple of 4983,9258 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 4983,9258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4983,9258) = 3

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

GCF(4983,9258) x common factors =3 x 1 = 3

LCM(4983,9258) = ( 4983 × 9258 ) / 3

LCM(4983,9258) = 46132614 / 3

LCM(4983,9258) = 15377538


Lets's calculate GCF of 978,6383

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15377538/1

Therefore the LCM of Fractions 4983/978,9258/6383 is 15377538

Greatest Common Factor of 978,6383 By Matching Biggest Common Factor Method

Greatest Common Factor of 978,6383 By Matching Biggest Common Factor Method

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Factors of 6383

List of positive integer factors of 6383 that divides 6383 without a remainder.

1,13,491,6383

Greatest Common Factor

We found the factors 978,6383 . The biggest common factor number is the GCF number.
So the greatest common factor 978,6383 is 1.


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 4983/978, 9258/6383

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 4983/978, 9258/6383?

Answer: LCM of Numerators as per given numbers 4983/978, 9258/6383 is

LCM of Numerators i.e. for 4983,9258 is 15377538

GCF of denominators i.e. for 978,6383 is 1.

Thus, LCM of Fractions is 15377538.Finally, LCM of Fractions for 4983/978, 9258/6383 is 15377538.