Least Common Multiple of 6664/834, 4378/9870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6664/834, 4378/9870 quickly i.e. 14587496/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6664/834, 4378/9870 is 14587496/6.

LCM(6664/834, 4378/9870) = 14587496/6

LCM of 6664/834, 4378/9870

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 6664/834,4378/9870

Given numbers are 6664/834,4378/9870

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 6664,4378

Least Common Multiple of Numerators i.e. LCM of 6664,4378 is 14587496.

GCF of Denominators means GCF of 834,9870 as per the given fractions.

GCF of 834,9870 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6664,4378

LCM of Fractions 6664/834,4378/9870 is 14587496/6

2 6664, 4378
3332, 2189

∴ So the LCM of the given numbers is 2 x 3332 x 2189 = 14587496

Least Common Multiple of 6664,4378 with GCF Formula

Least Common Multiple of 6664,4378 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 6664,4378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6664,4378) = 2

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

GCF(6664,4378) x common factors =2 x 1 = 2

LCM(6664,4378) = ( 6664 × 4378 ) / 2

LCM(6664,4378) = 29174992 / 2

LCM(6664,4378) = 14587496


Lets's calculate GCF of 834,9870

2 834, 9870
3 417, 4935
139, 1645

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14587496/6

Therefore the LCM of Fractions 6664/834,4378/9870 is 14587496/6

Greatest Common Factor of 834,9870 By Matching Biggest Common Factor Method

Greatest Common Factor of 834,9870 By Matching Biggest Common Factor Method

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Factors of 9870

List of positive integer factors of 9870 that divides 9870 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,47,70,94,105,141,210,235,282,329,470,658,705,987,1410,1645,1974,3290,4935,9870

Greatest Common Factor

We found the factors 834,9870 . The biggest common factor number is the GCF number.
So the greatest common factor 834,9870 is 6.


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 6664/834, 4378/9870

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 6664/834, 4378/9870?

Answer: LCM of Numerators as per given numbers 6664/834, 4378/9870 is

LCM of Numerators i.e. for 6664,4378 is 14587496

GCF of denominators i.e. for 834,9870 is 6.

Thus, LCM of Fractions is 14587496/6.Finally, LCM of Fractions for 6664/834, 4378/9870 is 14587496/6.