Least Common Multiple of 5216/106, 2034/868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5216/106, 2034/868 quickly i.e. 2652336 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5216/106, 2034/868 is 2652336.

LCM(5216/106, 2034/868) = 2652336

LCM of 5216/106, 2034/868

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 5216/106,2034/868

Given numbers are 5216/106,2034/868

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 5216,2034

Least Common Multiple of Numerators i.e. LCM of 5216,2034 is 5304672.

GCF of Denominators means GCF of 106,868 as per the given fractions.

GCF of 106,868 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5216,2034

LCM of Fractions 5216/106,2034/868 is 2652336

2 5216, 2034
2608, 1017

∴ So the LCM of the given numbers is 2 x 2608 x 1017 = 5304672

Least Common Multiple of 5216,2034 with GCF Formula

Least Common Multiple of 5216,2034 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 5216,2034 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5216,2034) = 2

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

GCF(5216,2034) x common factors =2 x 1 = 2

LCM(5216,2034) = ( 5216 × 2034 ) / 2

LCM(5216,2034) = 10609344 / 2

LCM(5216,2034) = 5304672


Lets's calculate GCF of 106,868

2 106, 868
53, 434

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5304672/2

Therefore the LCM of Fractions 5216/106,2034/868 is 2652336

Greatest Common Factor of 106,868 By Matching Biggest Common Factor Method

Greatest Common Factor of 106,868 By Matching Biggest Common Factor Method

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Greatest Common Factor

We found the factors 106,868 . The biggest common factor number is the GCF number.
So the greatest common factor 106,868 is 2.


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 5216/106, 2034/868

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 5216/106, 2034/868?

Answer: LCM of Numerators as per given numbers 5216/106, 2034/868 is

LCM of Numerators i.e. for 5216,2034 is 5304672

GCF of denominators i.e. for 106,868 is 2.

Thus, LCM of Fractions is 2652336.Finally, LCM of Fractions for 5216/106, 2034/868 is 2652336.