Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/80, 31/315, 530/355 quickly i.e. 285882 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/80, 31/315, 530/355 is 285882.
LCM(87/80, 31/315, 530/355) = 285882
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/80,31/315,530/355
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 87,31,530
Least Common Multiple of Numerators i.e. LCM of 87,31,530 is 1429410.
GCF of Denominators means GCF of 80,315,355 as per the given fractions.
GCF of 80,315,355 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,31,530
Given numbers has no common factors except 1. So, there LCM is their product i.e 1429410
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 87,31,530 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,31,530) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,31,530) x common factors =1 x 1 = 1
LCM(87,31,530) = ( 87 × 31 × 530 ) / 1
LCM(87,31,530) = 1429410 / 1
LCM(87,31,530) = 1429410
Lets's calculate GCF of 80,315,355
5 | 80, 315, 355 |
16, 63, 71 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1429410/5
Therefore the LCM of Fractions 87/80,31/315,530/355 is 285882
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 315
List of positive integer factors of 315 that divides 315 without a remainder.
1,3,5,7,9,15,21,35,45,63,105,315
Factors of 355
List of positive integer factors of 355 that divides 355 without a remainder.
1,5,71,355
Greatest Common Factor
We found the factors 80,315,355 . The biggest common factor number is the GCF number.
So the greatest common factor 80,315,355 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 87/80, 31/315, 530/355?
Answer: LCM of Numerators as per given numbers 87/80, 31/315, 530/355 is
LCM of Numerators i.e. for 87,31,530 is 1429410
GCF of denominators i.e. for 80,315,355 is 5.
Thus, LCM of Fractions is 285882.Finally, LCM of Fractions for 87/80, 31/315, 530/355 is 285882.