Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 174/39, 676/12, 417/495 quickly i.e. 2724956 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 174/39, 676/12, 417/495 is 2724956.
LCM(174/39, 676/12, 417/495) = 2724956
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 174/39,676/12,417/495
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 174,676,417
Least Common Multiple of Numerators i.e. LCM of 174,676,417 is 8174868.
GCF of Denominators means GCF of 39,12,495 as per the given fractions.
GCF of 39,12,495 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 174,676,417
2 | 174, 676, 417 |
3 | 87, 338, 417 |
29, 338, 139 |
∴ So the LCM of the given numbers is 2 x 3 x 29 x 338 x 139 = 8174868
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 174,676,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,676,417) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(174,676,417) x common factors =1 x 6 = 6
LCM(174,676,417) = ( 174 × 676 × 417 ) / 6
LCM(174,676,417) = 49049208 / 6
LCM(174,676,417) = 8174868
Lets's calculate GCF of 39,12,495
3 | 39, 12, 495 |
13, 4, 165 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8174868/3
Therefore the LCM of Fractions 174/39,676/12,417/495 is 2724956
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 495
List of positive integer factors of 495 that divides 495 without a remainder.
1,3,5,9,11,15,33,45,55,99,165,495
Greatest Common Factor
We found the factors 39,12,495 . The biggest common factor number is the GCF number.
So the greatest common factor 39,12,495 is 3.
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 174/39, 676/12, 417/495?
Answer: LCM of Numerators as per given numbers 174/39, 676/12, 417/495 is
LCM of Numerators i.e. for 174,676,417 is 8174868
GCF of denominators i.e. for 39,12,495 is 3.
Thus, LCM of Fractions is 2724956.Finally, LCM of Fractions for 174/39, 676/12, 417/495 is 2724956.