Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9950/695, 8886/105 quickly i.e. 8841570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9950/695, 8886/105 is 8841570.
LCM(9950/695, 8886/105) = 8841570
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9950/695,8886/105
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 9950,8886
Least Common Multiple of Numerators i.e. LCM of 9950,8886 is 44207850.
GCF of Denominators means GCF of 695,105 as per the given fractions.
GCF of 695,105 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9950,8886
2 | 9950, 8886 |
4975, 4443 |
∴ So the LCM of the given numbers is 2 x 4975 x 4443 = 44207850
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 9950,8886 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9950,8886) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(9950,8886) x common factors =2 x 1 = 2
LCM(9950,8886) = ( 9950 × 8886 ) / 2
LCM(9950,8886) = 88415700 / 2
LCM(9950,8886) = 44207850
Lets's calculate GCF of 695,105
5 | 695, 105 |
139, 21 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44207850/5
Therefore the LCM of Fractions 9950/695,8886/105 is 8841570
Factors of 695
List of positive integer factors of 695 that divides 695 without a remainder.
1,5,139,695
Factors of 105
List of positive integer factors of 105 that divides 105 without a remainder.
1,3,5,7,15,21,35,105
Greatest Common Factor
We found the factors 695,105 . The biggest common factor number is the GCF number.
So the greatest common factor 695,105 is 5.
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 9950/695, 8886/105?
Answer: LCM of Numerators as per given numbers 9950/695, 8886/105 is
LCM of Numerators i.e. for 9950,8886 is 44207850
GCF of denominators i.e. for 695,105 is 5.
Thus, LCM of Fractions is 8841570.Finally, LCM of Fractions for 9950/695, 8886/105 is 8841570.