Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8048/666, 1683/3380 quickly i.e. 6772392 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8048/666, 1683/3380 is 6772392.
LCM(8048/666, 1683/3380) = 6772392
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8048/666,1683/3380
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 8048,1683
Least Common Multiple of Numerators i.e. LCM of 8048,1683 is 13544784.
GCF of Denominators means GCF of 666,3380 as per the given fractions.
GCF of 666,3380 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8048,1683
Given numbers has no common factors except 1. So, there LCM is their product i.e 13544784
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 8048,1683 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8048,1683) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8048,1683) x common factors =1 x 1 = 1
LCM(8048,1683) = ( 8048 × 1683 ) / 1
LCM(8048,1683) = 13544784 / 1
LCM(8048,1683) = 13544784
Lets's calculate GCF of 666,3380
2 | 666, 3380 |
333, 1690 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13544784/2
Therefore the LCM of Fractions 8048/666,1683/3380 is 6772392
Factors of 666
List of positive integer factors of 666 that divides 666 without a remainder.
1,2,3,6,9,18,37,74,111,222,333,666
Factors of 3380
List of positive integer factors of 3380 that divides 3380 without a remainder.
1,2,4,5,10,13,20,26,52,65,130,169,260,338,676,845,1690,3380
Greatest Common Factor
We found the factors 666,3380 . The biggest common factor number is the GCF number.
So the greatest common factor 666,3380 is 2.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 8048/666, 1683/3380?
Answer: LCM of Numerators as per given numbers 8048/666, 1683/3380 is
LCM of Numerators i.e. for 8048,1683 is 13544784
GCF of denominators i.e. for 666,3380 is 2.
Thus, LCM of Fractions is 6772392.Finally, LCM of Fractions for 8048/666, 1683/3380 is 6772392.