Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/190, 139/625, 531/305 quickly i.e. 2140461/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/190, 139/625, 531/305 is 2140461/5.
LCM(87/190, 139/625, 531/305) = 2140461/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/190,139/625,531/305
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 87,139,531
Least Common Multiple of Numerators i.e. LCM of 87,139,531 is 2140461.
GCF of Denominators means GCF of 190,625,305 as per the given fractions.
GCF of 190,625,305 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,139,531
3 | 87, 139, 531 |
29, 139, 177 |
∴ So the LCM of the given numbers is 3 x 29 x 139 x 177 = 2140461
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 87,139,531 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,139,531) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(87,139,531) x common factors =1 x 3 = 3
LCM(87,139,531) = ( 87 × 139 × 531 ) / 3
LCM(87,139,531) = 6421383 / 3
LCM(87,139,531) = 2140461
Lets's calculate GCF of 190,625,305
5 | 190, 625, 305 |
38, 125, 61 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2140461/5
Therefore the LCM of Fractions 87/190,139/625,531/305 is 2140461/5
Factors of 190
List of positive integer factors of 190 that divides 190 without a remainder.
1,2,5,10,19,38,95,190
Factors of 625
List of positive integer factors of 625 that divides 625 without a remainder.
1,5,25,125,625
Factors of 305
List of positive integer factors of 305 that divides 305 without a remainder.
1,5,61,305
Greatest Common Factor
We found the factors 190,625,305 . The biggest common factor number is the GCF number.
So the greatest common factor 190,625,305 is 5.
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 87/190, 139/625, 531/305?
Answer: LCM of Numerators as per given numbers 87/190, 139/625, 531/305 is
LCM of Numerators i.e. for 87,139,531 is 2140461
GCF of denominators i.e. for 190,625,305 is 5.
Thus, LCM of Fractions is 2140461/5.Finally, LCM of Fractions for 87/190, 139/625, 531/305 is 2140461/5.