Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2240/901, 5419/969 quickly i.e. 12138560/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2240/901, 5419/969 is 12138560/17.
LCM(2240/901, 5419/969) = 12138560/17
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2240/901,5419/969
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 2240,5419
Least Common Multiple of Numerators i.e. LCM of 2240,5419 is 12138560.
GCF of Denominators means GCF of 901,969 as per the given fractions.
GCF of 901,969 is 17 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2240,5419
Given numbers has no common factors except 1. So, there LCM is their product i.e 12138560
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 2240,5419 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2240,5419) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2240,5419) x common factors =1 x 1 = 1
LCM(2240,5419) = ( 2240 × 5419 ) / 1
LCM(2240,5419) = 12138560 / 1
LCM(2240,5419) = 12138560
Lets's calculate GCF of 901,969
17 | 901, 969 |
53, 57 |
∴ So the GCF of the given numbers is 17 = 17
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12138560/17
Therefore the LCM of Fractions 2240/901,5419/969 is 12138560/17
Factors of 901
List of positive integer factors of 901 that divides 901 without a remainder.
1,17,53,901
Factors of 969
List of positive integer factors of 969 that divides 969 without a remainder.
1,3,17,19,51,57,323,969
Greatest Common Factor
We found the factors 901,969 . The biggest common factor number is the GCF number.
So the greatest common factor 901,969 is 17.
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 2240/901, 5419/969?
Answer: LCM of Numerators as per given numbers 2240/901, 5419/969 is
LCM of Numerators i.e. for 2240,5419 is 12138560
GCF of denominators i.e. for 901,969 is 17.
Thus, LCM of Fractions is 12138560/17.Finally, LCM of Fractions for 2240/901, 5419/969 is 12138560/17.