Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/92, 35/959, 517/130 quickly i.e. 1574265 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/92, 35/959, 517/130 is 1574265.
LCM(87/92, 35/959, 517/130) = 1574265
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/92,35/959,517/130
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 87,35,517
Least Common Multiple of Numerators i.e. LCM of 87,35,517 is 1574265.
GCF of Denominators means GCF of 92,959,130 as per the given fractions.
GCF of 92,959,130 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,35,517
Given numbers has no common factors except 1. So, there LCM is their product i.e 1574265
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 87,35,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,35,517) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,35,517) x common factors =1 x 1 = 1
LCM(87,35,517) = ( 87 × 35 × 517 ) / 1
LCM(87,35,517) = 1574265 / 1
LCM(87,35,517) = 1574265
Lets's calculate GCF of 92,959,130
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1574265/1
Therefore the LCM of Fractions 87/92,35/959,517/130 is 1574265
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 959
List of positive integer factors of 959 that divides 959 without a remainder.
1,7,137,959
Factors of 130
List of positive integer factors of 130 that divides 130 without a remainder.
1,2,5,10,13,26,65,130
Greatest Common Factor
We found the factors 92,959,130 . The biggest common factor number is the GCF number.
So the greatest common factor 92,959,130 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 87/92, 35/959, 517/130?
Answer: LCM of Numerators as per given numbers 87/92, 35/959, 517/130 is
LCM of Numerators i.e. for 87,35,517 is 1574265
GCF of denominators i.e. for 92,959,130 is 1.
Thus, LCM of Fractions is 1574265.Finally, LCM of Fractions for 87/92, 35/959, 517/130 is 1574265.