Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7106/985, 8809/5250 quickly i.e. 62596754/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7106/985, 8809/5250 is 62596754/5.
LCM(7106/985, 8809/5250) = 62596754/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7106/985,8809/5250
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 7106,8809
Least Common Multiple of Numerators i.e. LCM of 7106,8809 is 62596754.
GCF of Denominators means GCF of 985,5250 as per the given fractions.
GCF of 985,5250 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7106,8809
Given numbers has no common factors except 1. So, there LCM is their product i.e 62596754
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 7106,8809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7106,8809) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7106,8809) x common factors =1 x 1 = 1
LCM(7106,8809) = ( 7106 × 8809 ) / 1
LCM(7106,8809) = 62596754 / 1
LCM(7106,8809) = 62596754
Lets's calculate GCF of 985,5250
5 | 985, 5250 |
197, 1050 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62596754/5
Therefore the LCM of Fractions 7106/985,8809/5250 is 62596754/5
Factors of 985
List of positive integer factors of 985 that divides 985 without a remainder.
1,5,197,985
Factors of 5250
List of positive integer factors of 5250 that divides 5250 without a remainder.
1,2,3,5,6,7,10,14,15,21,25,30,35,42,50,70,75,105,125,150,175,210,250,350,375,525,750,875,1050,1750,2625,5250
Greatest Common Factor
We found the factors 985,5250 . The biggest common factor number is the GCF number.
So the greatest common factor 985,5250 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 7106/985, 8809/5250?
Answer: LCM of Numerators as per given numbers 7106/985, 8809/5250 is
LCM of Numerators i.e. for 7106,8809 is 62596754
GCF of denominators i.e. for 985,5250 is 5.
Thus, LCM of Fractions is 62596754/5.Finally, LCM of Fractions for 7106/985, 8809/5250 is 62596754/5.