Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2986/454, 7225/174 quickly i.e. 10786925 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2986/454, 7225/174 is 10786925.
LCM(2986/454, 7225/174) = 10786925
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2986/454,7225/174
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 2986,7225
Least Common Multiple of Numerators i.e. LCM of 2986,7225 is 21573850.
GCF of Denominators means GCF of 454,174 as per the given fractions.
GCF of 454,174 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2986,7225
Given numbers has no common factors except 1. So, there LCM is their product i.e 21573850
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 2986,7225 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2986,7225) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2986,7225) x common factors =1 x 1 = 1
LCM(2986,7225) = ( 2986 × 7225 ) / 1
LCM(2986,7225) = 21573850 / 1
LCM(2986,7225) = 21573850
Lets's calculate GCF of 454,174
2 | 454, 174 |
227, 87 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21573850/2
Therefore the LCM of Fractions 2986/454,7225/174 is 10786925
Factors of 454
List of positive integer factors of 454 that divides 454 without a remainder.
1,2,227,454
Factors of 174
List of positive integer factors of 174 that divides 174 without a remainder.
1,2,3,6,29,58,87,174
Greatest Common Factor
We found the factors 454,174 . The biggest common factor number is the GCF number.
So the greatest common factor 454,174 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 2986/454, 7225/174?
Answer: LCM of Numerators as per given numbers 2986/454, 7225/174 is
LCM of Numerators i.e. for 2986,7225 is 21573850
GCF of denominators i.e. for 454,174 is 2.
Thus, LCM of Fractions is 10786925.Finally, LCM of Fractions for 2986/454, 7225/174 is 10786925.