Least Common Multiple of 4082/873, 6314/2699

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4082/873, 6314/2699 quickly i.e. 12886874 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4082/873, 6314/2699 is 12886874.

LCM(4082/873, 6314/2699) = 12886874

LCM of 4082/873, 6314/2699

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 4082/873,6314/2699

Given numbers are 4082/873,6314/2699

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 4082,6314

Least Common Multiple of Numerators i.e. LCM of 4082,6314 is 12886874.

GCF of Denominators means GCF of 873,2699 as per the given fractions.

GCF of 873,2699 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4082,6314

LCM of Fractions 4082/873,6314/2699 is 12886874

2 4082, 6314
2041, 3157

∴ So the LCM of the given numbers is 2 x 2041 x 3157 = 12886874

Least Common Multiple of 4082,6314 with GCF Formula

Least Common Multiple of 4082,6314 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 4082,6314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4082,6314) = 2

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

GCF(4082,6314) x common factors =2 x 1 = 2

LCM(4082,6314) = ( 4082 × 6314 ) / 2

LCM(4082,6314) = 25773748 / 2

LCM(4082,6314) = 12886874


Lets's calculate GCF of 873,2699

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12886874/1

Therefore the LCM of Fractions 4082/873,6314/2699 is 12886874

Greatest Common Factor of 873,2699 By Matching Biggest Common Factor Method

Greatest Common Factor of 873,2699 By Matching Biggest Common Factor Method

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Factors of 2699

List of positive integer factors of 2699 that divides 2699 without a remainder.

1,2699

Greatest Common Factor

We found the factors 873,2699 . The biggest common factor number is the GCF number.
So the greatest common factor 873,2699 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 4082/873, 6314/2699

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 4082/873, 6314/2699?

Answer: LCM of Numerators as per given numbers 4082/873, 6314/2699 is

LCM of Numerators i.e. for 4082,6314 is 12886874

GCF of denominators i.e. for 873,2699 is 1.

Thus, LCM of Fractions is 12886874.Finally, LCM of Fractions for 4082/873, 6314/2699 is 12886874.