Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5/10, 3/42, 86/50, 96/705 quickly i.e. 20640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5/10, 3/42, 86/50, 96/705 is 20640.
LCM(5/10, 3/42, 86/50, 96/705) = 20640
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5/10,3/42,86/50,96/705
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 5,3,86,96
Least Common Multiple of Numerators i.e. LCM of 5,3,86,96 is 20640.
GCF of Denominators means GCF of 10,42,50,705 as per the given fractions.
GCF of 10,42,50,705 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5,3,86,96
2 | 5, 3, 86, 96 |
3 | 5, 3, 43, 48 |
5, 1, 43, 16 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 43 x 16 = 20640
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 5,3,86,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5,3,86,96) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(5,3,86,96) x common factors =1 x 6 = 6
LCM(5,3,86,96) = ( 5 × 3 × 86 × 96 ) / 6
LCM(5,3,86,96) = 123840 / 6
LCM(5,3,86,96) = 20640
Lets's calculate GCF of 10,42,50,705
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20640/1
Therefore the LCM of Fractions 5/10,3/42,86/50,96/705 is 20640
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 705
List of positive integer factors of 705 that divides 705 without a remainder.
1,3,5,15,47,141,235,705
Greatest Common Factor
We found the factors 10,42,50,705 . The biggest common factor number is the GCF number.
So the greatest common factor 10,42,50,705 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 5/10, 3/42, 86/50, 96/705?
Answer: LCM of Numerators as per given numbers 5/10, 3/42, 86/50, 96/705 is
LCM of Numerators i.e. for 5,3,86,96 is 20640
GCF of denominators i.e. for 10,42,50,705 is 1.
Thus, LCM of Fractions is 20640.Finally, LCM of Fractions for 5/10, 3/42, 86/50, 96/705 is 20640.