Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 10/909, 9914/2253 quickly i.e. 49570/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 10/909, 9914/2253 is 49570/3.
LCM(10/909, 9914/2253) = 49570/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 10/909,9914/2253
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 10,9914
Least Common Multiple of Numerators i.e. LCM of 10,9914 is 49570.
GCF of Denominators means GCF of 909,2253 as per the given fractions.
GCF of 909,2253 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 10,9914
2 | 10, 9914 |
5, 4957 |
∴ So the LCM of the given numbers is 2 x 5 x 4957 = 49570
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 10,9914 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,9914) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(10,9914) x common factors =2 x 1 = 2
LCM(10,9914) = ( 10 × 9914 ) / 2
LCM(10,9914) = 99140 / 2
LCM(10,9914) = 49570
Lets's calculate GCF of 909,2253
3 | 909, 2253 |
303, 751 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49570/3
Therefore the LCM of Fractions 10/909,9914/2253 is 49570/3
Factors of 909
List of positive integer factors of 909 that divides 909 without a remainder.
1,3,9,101,303,909
Factors of 2253
List of positive integer factors of 2253 that divides 2253 without a remainder.
1,3,751,2253
Greatest Common Factor
We found the factors 909,2253 . The biggest common factor number is the GCF number.
So the greatest common factor 909,2253 is 3.
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 10/909, 9914/2253?
Answer: LCM of Numerators as per given numbers 10/909, 9914/2253 is
LCM of Numerators i.e. for 10,9914 is 49570
GCF of denominators i.e. for 909,2253 is 3.
Thus, LCM of Fractions is 49570/3.Finally, LCM of Fractions for 10/909, 9914/2253 is 49570/3.