Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/735, 30/875, 418/395 quickly i.e. 36366 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/735, 30/875, 418/395 is 36366.
LCM(87/735, 30/875, 418/395) = 36366
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/735,30/875,418/395
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 87,30,418
Least Common Multiple of Numerators i.e. LCM of 87,30,418 is 181830.
GCF of Denominators means GCF of 735,875,395 as per the given fractions.
GCF of 735,875,395 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,30,418
2 | 87, 30, 418 |
3 | 87, 15, 209 |
29, 5, 209 |
∴ So the LCM of the given numbers is 2 x 3 x 29 x 5 x 209 = 181830
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 87,30,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,30,418) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(87,30,418) x common factors =1 x 6 = 6
LCM(87,30,418) = ( 87 × 30 × 418 ) / 6
LCM(87,30,418) = 1090980 / 6
LCM(87,30,418) = 181830
Lets's calculate GCF of 735,875,395
5 | 735, 875, 395 |
147, 175, 79 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 181830/5
Therefore the LCM of Fractions 87/735,30/875,418/395 is 36366
Factors of 735
List of positive integer factors of 735 that divides 735 without a remainder.
1,3,5,7,15,21,35,49,105,147,245,735
Factors of 875
List of positive integer factors of 875 that divides 875 without a remainder.
1,5,7,25,35,125,175,875
Factors of 395
List of positive integer factors of 395 that divides 395 without a remainder.
1,5,79,395
Greatest Common Factor
We found the factors 735,875,395 . The biggest common factor number is the GCF number.
So the greatest common factor 735,875,395 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 87/735, 30/875, 418/395?
Answer: LCM of Numerators as per given numbers 87/735, 30/875, 418/395 is
LCM of Numerators i.e. for 87,30,418 is 181830
GCF of denominators i.e. for 735,875,395 is 5.
Thus, LCM of Fractions is 36366.Finally, LCM of Fractions for 87/735, 30/875, 418/395 is 36366.