Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3274/554, 9635/2722 quickly i.e. 15772495 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3274/554, 9635/2722 is 15772495.
LCM(3274/554, 9635/2722) = 15772495
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3274/554,9635/2722
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 3274,9635
Least Common Multiple of Numerators i.e. LCM of 3274,9635 is 31544990.
GCF of Denominators means GCF of 554,2722 as per the given fractions.
GCF of 554,2722 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3274,9635
Given numbers has no common factors except 1. So, there LCM is their product i.e 31544990
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 3274,9635 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3274,9635) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3274,9635) x common factors =1 x 1 = 1
LCM(3274,9635) = ( 3274 × 9635 ) / 1
LCM(3274,9635) = 31544990 / 1
LCM(3274,9635) = 31544990
Lets's calculate GCF of 554,2722
2 | 554, 2722 |
277, 1361 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31544990/2
Therefore the LCM of Fractions 3274/554,9635/2722 is 15772495
Factors of 554
List of positive integer factors of 554 that divides 554 without a remainder.
1,2,277,554
Factors of 2722
List of positive integer factors of 2722 that divides 2722 without a remainder.
1,2,1361,2722
Greatest Common Factor
We found the factors 554,2722 . The biggest common factor number is the GCF number.
So the greatest common factor 554,2722 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 3274/554, 9635/2722?
Answer: LCM of Numerators as per given numbers 3274/554, 9635/2722 is
LCM of Numerators i.e. for 3274,9635 is 31544990
GCF of denominators i.e. for 554,2722 is 2.
Thus, LCM of Fractions is 15772495.Finally, LCM of Fractions for 3274/554, 9635/2722 is 15772495.