Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/10, 10/48, 40/46, 84/818 quickly i.e. 12180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/10, 10/48, 40/46, 84/818 is 12180.
LCM(87/10, 10/48, 40/46, 84/818) = 12180
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/10,10/48,40/46,84/818
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 87,10,40,84
Least Common Multiple of Numerators i.e. LCM of 87,10,40,84 is 24360.
GCF of Denominators means GCF of 10,48,46,818 as per the given fractions.
GCF of 10,48,46,818 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,10,40,84
2 | 87, 10, 40, 84 |
2 | 87, 5, 20, 42 |
3 | 87, 5, 10, 21 |
5 | 29, 5, 10, 7 |
29, 1, 2, 7 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 29 x 1 x 2 x 7 = 24360
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 87,10,40,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,10,40,84) = 1
common factors(in case of two or more numbers have common factors) = 120
GCF(87,10,40,84) x common factors =1 x 120 = 120
LCM(87,10,40,84) = ( 87 × 10 × 40 × 84 ) / 120
LCM(87,10,40,84) = 2923200 / 120
LCM(87,10,40,84) = 24360
Lets's calculate GCF of 10,48,46,818
2 | 10, 48, 46, 818 |
5, 24, 23, 409 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24360/2
Therefore the LCM of Fractions 87/10,10/48,40/46,84/818 is 12180
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 818
List of positive integer factors of 818 that divides 818 without a remainder.
1,2,409,818
Greatest Common Factor
We found the factors 10,48,46,818 . The biggest common factor number is the GCF number.
So the greatest common factor 10,48,46,818 is 2.
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 87/10, 10/48, 40/46, 84/818?
Answer: LCM of Numerators as per given numbers 87/10, 10/48, 40/46, 84/818 is
LCM of Numerators i.e. for 87,10,40,84 is 24360
GCF of denominators i.e. for 10,48,46,818 is 2.
Thus, LCM of Fractions is 12180.Finally, LCM of Fractions for 87/10, 10/48, 40/46, 84/818 is 12180.