Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 850/88, 969/9427 quickly i.e. 48450/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 850/88, 969/9427 is 48450/11.
LCM(850/88, 969/9427) = 48450/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 850/88,969/9427
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 850,969
Least Common Multiple of Numerators i.e. LCM of 850,969 is 48450.
GCF of Denominators means GCF of 88,9427 as per the given fractions.
GCF of 88,9427 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 850,969
17 | 850, 969 |
50, 57 |
∴ So the LCM of the given numbers is 17 x 50 x 57 = 48450
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 850,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(850,969) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(850,969) x common factors =17 x 1 = 17
LCM(850,969) = ( 850 × 969 ) / 17
LCM(850,969) = 823650 / 17
LCM(850,969) = 48450
Lets's calculate GCF of 88,9427
11 | 88, 9427 |
8, 857 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48450/11
Therefore the LCM of Fractions 850/88,969/9427 is 48450/11
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 9427
List of positive integer factors of 9427 that divides 9427 without a remainder.
1,11,857,9427
Greatest Common Factor
We found the factors 88,9427 . The biggest common factor number is the GCF number.
So the greatest common factor 88,9427 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 850/88, 969/9427?
Answer: LCM of Numerators as per given numbers 850/88, 969/9427 is
LCM of Numerators i.e. for 850,969 is 48450
GCF of denominators i.e. for 88,9427 is 11.
Thus, LCM of Fractions is 48450/11.Finally, LCM of Fractions for 850/88, 969/9427 is 48450/11.