Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 842/990, 8738/6573 quickly i.e. 3678698/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 842/990, 8738/6573 is 3678698/3.
LCM(842/990, 8738/6573) = 3678698/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 842/990,8738/6573
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 842,8738
Least Common Multiple of Numerators i.e. LCM of 842,8738 is 3678698.
GCF of Denominators means GCF of 990,6573 as per the given fractions.
GCF of 990,6573 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 842,8738
2 | 842, 8738 |
421, 4369 |
∴ So the LCM of the given numbers is 2 x 421 x 4369 = 3678698
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 842,8738 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(842,8738) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(842,8738) x common factors =2 x 1 = 2
LCM(842,8738) = ( 842 × 8738 ) / 2
LCM(842,8738) = 7357396 / 2
LCM(842,8738) = 3678698
Lets's calculate GCF of 990,6573
3 | 990, 6573 |
330, 2191 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3678698/3
Therefore the LCM of Fractions 842/990,8738/6573 is 3678698/3
Factors of 990
List of positive integer factors of 990 that divides 990 without a remainder.
1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Factors of 6573
List of positive integer factors of 6573 that divides 6573 without a remainder.
1,3,7,21,313,939,2191,6573
Greatest Common Factor
We found the factors 990,6573 . The biggest common factor number is the GCF number.
So the greatest common factor 990,6573 is 3.
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 842/990, 8738/6573?
Answer: LCM of Numerators as per given numbers 842/990, 8738/6573 is
LCM of Numerators i.e. for 842,8738 is 3678698
GCF of denominators i.e. for 990,6573 is 3.
Thus, LCM of Fractions is 3678698/3.Finally, LCM of Fractions for 842/990, 8738/6573 is 3678698/3.