Least Common Multiple of 1996/81, 7848/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1996/81, 7848/214 quickly i.e. 3916152 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1996/81, 7848/214 is 3916152.

LCM(1996/81, 7848/214) = 3916152

LCM of 1996/81, 7848/214

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 1996/81,7848/214

Given numbers are 1996/81,7848/214

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 1996,7848

Least Common Multiple of Numerators i.e. LCM of 1996,7848 is 3916152.

GCF of Denominators means GCF of 81,214 as per the given fractions.

GCF of 81,214 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1996,7848

LCM of Fractions 1996/81,7848/214 is 3916152

2 1996, 7848
2 998, 3924
499, 1962

∴ So the LCM of the given numbers is 2 x 2 x 499 x 1962 = 3916152

Least Common Multiple of 1996,7848 with GCF Formula

Least Common Multiple of 1996,7848 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 1996,7848 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1996,7848) = 4

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

GCF(1996,7848) x common factors =4 x 1 = 4

LCM(1996,7848) = ( 1996 × 7848 ) / 4

LCM(1996,7848) = 15664608 / 4

LCM(1996,7848) = 3916152


Lets's calculate GCF of 81,214

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3916152/1

Therefore the LCM of Fractions 1996/81,7848/214 is 3916152

Greatest Common Factor of 81,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,214 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Greatest Common Factor

We found the factors 81,214 . The biggest common factor number is the GCF number.
So the greatest common factor 81,214 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 1996/81, 7848/214

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 1996/81, 7848/214?

Answer: LCM of Numerators as per given numbers 1996/81, 7848/214 is

LCM of Numerators i.e. for 1996,7848 is 3916152

GCF of denominators i.e. for 81,214 is 1.

Thus, LCM of Fractions is 3916152.Finally, LCM of Fractions for 1996/81, 7848/214 is 3916152.