Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 847/88, 998/3025 quickly i.e. 76846 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 847/88, 998/3025 is 76846.
LCM(847/88, 998/3025) = 76846
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 847/88,998/3025
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 847,998
Least Common Multiple of Numerators i.e. LCM of 847,998 is 845306.
GCF of Denominators means GCF of 88,3025 as per the given fractions.
GCF of 88,3025 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 847,998
Given numbers has no common factors except 1. So, there LCM is their product i.e 845306
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 847,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(847,998) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(847,998) x common factors =1 x 1 = 1
LCM(847,998) = ( 847 × 998 ) / 1
LCM(847,998) = 845306 / 1
LCM(847,998) = 845306
Lets's calculate GCF of 88,3025
11 | 88, 3025 |
8, 275 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 845306/11
Therefore the LCM of Fractions 847/88,998/3025 is 76846
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 3025
List of positive integer factors of 3025 that divides 3025 without a remainder.
1,5,11,25,55,121,275,605,3025
Greatest Common Factor
We found the factors 88,3025 . The biggest common factor number is the GCF number.
So the greatest common factor 88,3025 is 11.
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 847/88, 998/3025?
Answer: LCM of Numerators as per given numbers 847/88, 998/3025 is
LCM of Numerators i.e. for 847,998 is 845306
GCF of denominators i.e. for 88,3025 is 11.
Thus, LCM of Fractions is 76846.Finally, LCM of Fractions for 847/88, 998/3025 is 76846.