Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 52/87, 43/97, 90/55, 83/587 quickly i.e. 8351460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 52/87, 43/97, 90/55, 83/587 is 8351460.
LCM(52/87, 43/97, 90/55, 83/587) = 8351460
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 52/87,43/97,90/55,83/587
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 52,43,90,83
Least Common Multiple of Numerators i.e. LCM of 52,43,90,83 is 8351460.
GCF of Denominators means GCF of 87,97,55,587 as per the given fractions.
GCF of 87,97,55,587 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 52,43,90,83
2 | 52, 43, 90, 83 |
26, 43, 45, 83 |
∴ So the LCM of the given numbers is 2 x 26 x 43 x 45 x 83 = 8351460
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 52,43,90,83 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,43,90,83) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(52,43,90,83) x common factors =1 x 2 = 2
LCM(52,43,90,83) = ( 52 × 43 × 90 × 83 ) / 2
LCM(52,43,90,83) = 16702920 / 2
LCM(52,43,90,83) = 8351460
Lets's calculate GCF of 87,97,55,587
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8351460/1
Therefore the LCM of Fractions 52/87,43/97,90/55,83/587 is 8351460
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 587
List of positive integer factors of 587 that divides 587 without a remainder.
1,587
Greatest Common Factor
We found the factors 87,97,55,587 . The biggest common factor number is the GCF number.
So the greatest common factor 87,97,55,587 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 52/87, 43/97, 90/55, 83/587?
Answer: LCM of Numerators as per given numbers 52/87, 43/97, 90/55, 83/587 is
LCM of Numerators i.e. for 52,43,90,83 is 8351460
GCF of denominators i.e. for 87,97,55,587 is 1.
Thus, LCM of Fractions is 8351460.Finally, LCM of Fractions for 52/87, 43/97, 90/55, 83/587 is 8351460.