Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9777/910, 6706/4410 quickly i.e. 65564562/70 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9777/910, 6706/4410 is 65564562/70.
LCM(9777/910, 6706/4410) = 65564562/70
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9777/910,6706/4410
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 9777,6706
Least Common Multiple of Numerators i.e. LCM of 9777,6706 is 65564562.
GCF of Denominators means GCF of 910,4410 as per the given fractions.
GCF of 910,4410 is 70 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9777,6706
Given numbers has no common factors except 1. So, there LCM is their product i.e 65564562
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 9777,6706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9777,6706) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9777,6706) x common factors =1 x 1 = 1
LCM(9777,6706) = ( 9777 × 6706 ) / 1
LCM(9777,6706) = 65564562 / 1
LCM(9777,6706) = 65564562
Lets's calculate GCF of 910,4410
2 | 910, 4410 |
5 | 455, 2205 |
7 | 91, 441 |
13, 63 |
∴ So the GCF of the given numbers is 2 x 5 x 7 = 70
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65564562/70
Therefore the LCM of Fractions 9777/910,6706/4410 is 65564562/70
Factors of 910
List of positive integer factors of 910 that divides 910 without a remainder.
1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910
Factors of 4410
List of positive integer factors of 4410 that divides 4410 without a remainder.
1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,49,63,70,90,98,105,126,147,210,245,294,315,441,490,630,735,882,1470,2205,4410
Greatest Common Factor
We found the factors 910,4410 . The biggest common factor number is the GCF number.
So the greatest common factor 910,4410 is 70.
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 9777/910, 6706/4410?
Answer: LCM of Numerators as per given numbers 9777/910, 6706/4410 is
LCM of Numerators i.e. for 9777,6706 is 65564562
GCF of denominators i.e. for 910,4410 is 70.
Thus, LCM of Fractions is 65564562/70.Finally, LCM of Fractions for 9777/910, 6706/4410 is 65564562/70.