Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 991/226, 9947/1050 quickly i.e. 9857477/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 991/226, 9947/1050 is 9857477/2.
LCM(991/226, 9947/1050) = 9857477/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 991/226,9947/1050
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 991,9947
Least Common Multiple of Numerators i.e. LCM of 991,9947 is 9857477.
GCF of Denominators means GCF of 226,1050 as per the given fractions.
GCF of 226,1050 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 991,9947
Given numbers has no common factors except 1. So, there LCM is their product i.e 9857477
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 991,9947 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(991,9947) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(991,9947) x common factors =1 x 1 = 1
LCM(991,9947) = ( 991 × 9947 ) / 1
LCM(991,9947) = 9857477 / 1
LCM(991,9947) = 9857477
Lets's calculate GCF of 226,1050
2 | 226, 1050 |
113, 525 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9857477/2
Therefore the LCM of Fractions 991/226,9947/1050 is 9857477/2
Factors of 226
List of positive integer factors of 226 that divides 226 without a remainder.
1,2,113,226
Factors of 1050
List of positive integer factors of 1050 that divides 1050 without a remainder.
1,2,3,5,6,7,10,14,15,21,25,30,35,42,50,70,75,105,150,175,210,350,525,1050
Greatest Common Factor
We found the factors 226,1050 . The biggest common factor number is the GCF number.
So the greatest common factor 226,1050 is 2.
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 991/226, 9947/1050?
Answer: LCM of Numerators as per given numbers 991/226, 9947/1050 is
LCM of Numerators i.e. for 991,9947 is 9857477
GCF of denominators i.e. for 226,1050 is 2.
Thus, LCM of Fractions is 9857477/2.Finally, LCM of Fractions for 991/226, 9947/1050 is 9857477/2.