Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 67/142, 10/228, 517/625 quickly i.e. 346390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 67/142, 10/228, 517/625 is 346390.
LCM(67/142, 10/228, 517/625) = 346390
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 67/142,10/228,517/625
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 67,10,517
Least Common Multiple of Numerators i.e. LCM of 67,10,517 is 346390.
GCF of Denominators means GCF of 142,228,625 as per the given fractions.
GCF of 142,228,625 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 67,10,517
Given numbers has no common factors except 1. So, there LCM is their product i.e 346390
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 67,10,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,10,517) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,10,517) x common factors =1 x 1 = 1
LCM(67,10,517) = ( 67 × 10 × 517 ) / 1
LCM(67,10,517) = 346390 / 1
LCM(67,10,517) = 346390
Lets's calculate GCF of 142,228,625
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 346390/1
Therefore the LCM of Fractions 67/142,10/228,517/625 is 346390
Factors of 142
List of positive integer factors of 142 that divides 142 without a remainder.
1,2,71,142
Factors of 228
List of positive integer factors of 228 that divides 228 without a remainder.
1,2,3,4,6,12,19,38,57,76,114,228
Factors of 625
List of positive integer factors of 625 that divides 625 without a remainder.
1,5,25,125,625
Greatest Common Factor
We found the factors 142,228,625 . The biggest common factor number is the GCF number.
So the greatest common factor 142,228,625 is 1.
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 67/142, 10/228, 517/625?
Answer: LCM of Numerators as per given numbers 67/142, 10/228, 517/625 is
LCM of Numerators i.e. for 67,10,517 is 346390
GCF of denominators i.e. for 142,228,625 is 1.
Thus, LCM of Fractions is 346390.Finally, LCM of Fractions for 67/142, 10/228, 517/625 is 346390.