Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 453/374, 2717/952 quickly i.e. 1230801/34 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 453/374, 2717/952 is 1230801/34.
LCM(453/374, 2717/952) = 1230801/34
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 453/374,2717/952
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 453,2717
Least Common Multiple of Numerators i.e. LCM of 453,2717 is 1230801.
GCF of Denominators means GCF of 374,952 as per the given fractions.
GCF of 374,952 is 34 as it is the largest common factor for these numbers.
Lets's calculate LCM of 453,2717
Given numbers has no common factors except 1. So, there LCM is their product i.e 1230801
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 453,2717 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(453,2717) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(453,2717) x common factors =1 x 1 = 1
LCM(453,2717) = ( 453 × 2717 ) / 1
LCM(453,2717) = 1230801 / 1
LCM(453,2717) = 1230801
Lets's calculate GCF of 374,952
2 | 374, 952 |
17 | 187, 476 |
11, 28 |
∴ So the GCF of the given numbers is 2 x 17 = 34
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1230801/34
Therefore the LCM of Fractions 453/374,2717/952 is 1230801/34
Factors of 374
List of positive integer factors of 374 that divides 374 without a remainder.
1,2,11,17,22,34,187,374
Factors of 952
List of positive integer factors of 952 that divides 952 without a remainder.
1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952
Greatest Common Factor
We found the factors 374,952 . The biggest common factor number is the GCF number.
So the greatest common factor 374,952 is 34.
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 453/374, 2717/952?
Answer: LCM of Numerators as per given numbers 453/374, 2717/952 is
LCM of Numerators i.e. for 453,2717 is 1230801
GCF of denominators i.e. for 374,952 is 34.
Thus, LCM of Fractions is 1230801/34.Finally, LCM of Fractions for 453/374, 2717/952 is 1230801/34.