Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 963/22, 7574/290 quickly i.e. 3646881 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 963/22, 7574/290 is 3646881.
LCM(963/22, 7574/290) = 3646881
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 963/22,7574/290
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 963,7574
Least Common Multiple of Numerators i.e. LCM of 963,7574 is 7293762.
GCF of Denominators means GCF of 22,290 as per the given fractions.
GCF of 22,290 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 963,7574
Given numbers has no common factors except 1. So, there LCM is their product i.e 7293762
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 963,7574 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(963,7574) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(963,7574) x common factors =1 x 1 = 1
LCM(963,7574) = ( 963 × 7574 ) / 1
LCM(963,7574) = 7293762 / 1
LCM(963,7574) = 7293762
Lets's calculate GCF of 22,290
2 | 22, 290 |
11, 145 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7293762/2
Therefore the LCM of Fractions 963/22,7574/290 is 3646881
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 290
List of positive integer factors of 290 that divides 290 without a remainder.
1,2,5,10,29,58,145,290
Greatest Common Factor
We found the factors 22,290 . The biggest common factor number is the GCF number.
So the greatest common factor 22,290 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 963/22, 7574/290?
Answer: LCM of Numerators as per given numbers 963/22, 7574/290 is
LCM of Numerators i.e. for 963,7574 is 7293762
GCF of denominators i.e. for 22,290 is 2.
Thus, LCM of Fractions is 3646881.Finally, LCM of Fractions for 963/22, 7574/290 is 3646881.