Least Common Multiple of 983/23, 859/3916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 983/23, 859/3916 quickly i.e. 844397 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 983/23, 859/3916 is 844397.

LCM(983/23, 859/3916) = 844397

LCM of 983/23, 859/3916

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 983/23,859/3916

Given numbers are 983/23,859/3916

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 983,859

Least Common Multiple of Numerators i.e. LCM of 983,859 is 844397.

GCF of Denominators means GCF of 23,3916 as per the given fractions.

GCF of 23,3916 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 983,859

LCM of Fractions 983/23,859/3916 is 844397

Given numbers has no common factors except 1. So, there LCM is their product i.e 844397

Least Common Multiple of 983,859 with GCF Formula

Least Common Multiple of 983,859 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 983,859 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(983,859) = 1

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

GCF(983,859) x common factors =1 x 1 = 1

LCM(983,859) = ( 983 × 859 ) / 1

LCM(983,859) = 844397 / 1

LCM(983,859) = 844397


Lets's calculate GCF of 23,3916

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 844397/1

Therefore the LCM of Fractions 983/23,859/3916 is 844397

Greatest Common Factor of 23,3916 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,3916 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 3916

List of positive integer factors of 3916 that divides 3916 without a remainder.

1,2,4,11,22,44,89,178,356,979,1958,3916

Greatest Common Factor

We found the factors 23,3916 . The biggest common factor number is the GCF number.
So the greatest common factor 23,3916 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 983/23, 859/3916

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 983/23, 859/3916?

Answer: LCM of Numerators as per given numbers 983/23, 859/3916 is

LCM of Numerators i.e. for 983,859 is 844397

GCF of denominators i.e. for 23,3916 is 1.

Thus, LCM of Fractions is 844397.Finally, LCM of Fractions for 983/23, 859/3916 is 844397.