Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/534, 810/660, 811/837 quickly i.e. 6350130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/534, 810/660, 811/837 is 6350130.
LCM(87/534, 810/660, 811/837) = 6350130
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/534,810/660,811/837
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 87,810,811
Least Common Multiple of Numerators i.e. LCM of 87,810,811 is 19050390.
GCF of Denominators means GCF of 534,660,837 as per the given fractions.
GCF of 534,660,837 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,810,811
3 | 87, 810, 811 |
29, 270, 811 |
∴ So the LCM of the given numbers is 3 x 29 x 270 x 811 = 19050390
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 87,810,811 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,810,811) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(87,810,811) x common factors =1 x 3 = 3
LCM(87,810,811) = ( 87 × 810 × 811 ) / 3
LCM(87,810,811) = 57151170 / 3
LCM(87,810,811) = 19050390
Lets's calculate GCF of 534,660,837
3 | 534, 660, 837 |
178, 220, 279 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19050390/3
Therefore the LCM of Fractions 87/534,810/660,811/837 is 6350130
Factors of 534
List of positive integer factors of 534 that divides 534 without a remainder.
1,2,3,6,89,178,267,534
Factors of 660
List of positive integer factors of 660 that divides 660 without a remainder.
1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660
Factors of 837
List of positive integer factors of 837 that divides 837 without a remainder.
1,3,9,27,31,93,279,837
Greatest Common Factor
We found the factors 534,660,837 . The biggest common factor number is the GCF number.
So the greatest common factor 534,660,837 is 3.
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 87/534, 810/660, 811/837?
Answer: LCM of Numerators as per given numbers 87/534, 810/660, 811/837 is
LCM of Numerators i.e. for 87,810,811 is 19050390
GCF of denominators i.e. for 534,660,837 is 3.
Thus, LCM of Fractions is 6350130.Finally, LCM of Fractions for 87/534, 810/660, 811/837 is 6350130.