Least Common Multiple of 9827/682, 5314/2684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9827/682, 5314/2684 quickly i.e. 52220678/22 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9827/682, 5314/2684 is 52220678/22.

LCM(9827/682, 5314/2684) = 52220678/22

LCM of 9827/682, 5314/2684

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 9827/682,5314/2684

Given numbers are 9827/682,5314/2684

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 9827,5314

Least Common Multiple of Numerators i.e. LCM of 9827,5314 is 52220678.

GCF of Denominators means GCF of 682,2684 as per the given fractions.

GCF of 682,2684 is 22 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9827,5314

LCM of Fractions 9827/682,5314/2684 is 52220678/22

Given numbers has no common factors except 1. So, there LCM is their product i.e 52220678

Least Common Multiple of 9827,5314 with GCF Formula

Least Common Multiple of 9827,5314 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 9827,5314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9827,5314) = 1

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

GCF(9827,5314) x common factors =1 x 1 = 1

LCM(9827,5314) = ( 9827 × 5314 ) / 1

LCM(9827,5314) = 52220678 / 1

LCM(9827,5314) = 52220678


Lets's calculate GCF of 682,2684

2 682, 2684
11 341, 1342
31, 122

∴ So the GCF of the given numbers is 2 x 11 = 22

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52220678/22

Therefore the LCM of Fractions 9827/682,5314/2684 is 52220678/22

Greatest Common Factor of 682,2684 By Matching Biggest Common Factor Method

Greatest Common Factor of 682,2684 By Matching Biggest Common Factor Method

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Factors of 2684

List of positive integer factors of 2684 that divides 2684 without a remainder.

1,2,4,11,22,44,61,122,244,671,1342,2684

Greatest Common Factor

We found the factors 682,2684 . The biggest common factor number is the GCF number.
So the greatest common factor 682,2684 is 22.


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 9827/682, 5314/2684

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 9827/682, 5314/2684?

Answer: LCM of Numerators as per given numbers 9827/682, 5314/2684 is

LCM of Numerators i.e. for 9827,5314 is 52220678

GCF of denominators i.e. for 682,2684 is 22.

Thus, LCM of Fractions is 52220678/22.Finally, LCM of Fractions for 9827/682, 5314/2684 is 52220678/22.