Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 41/14, 90/60, 13/10, 84/796 quickly i.e. 335790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 41/14, 90/60, 13/10, 84/796 is 335790.
LCM(41/14, 90/60, 13/10, 84/796) = 335790
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 41/14,90/60,13/10,84/796
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 41,90,13,84
Least Common Multiple of Numerators i.e. LCM of 41,90,13,84 is 671580.
GCF of Denominators means GCF of 14,60,10,796 as per the given fractions.
GCF of 14,60,10,796 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 41,90,13,84
2 | 41, 90, 13, 84 |
3 | 41, 45, 13, 42 |
41, 15, 13, 14 |
∴ So the LCM of the given numbers is 2 x 3 x 41 x 15 x 13 x 14 = 671580
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 41,90,13,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,90,13,84) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(41,90,13,84) x common factors =1 x 6 = 6
LCM(41,90,13,84) = ( 41 × 90 × 13 × 84 ) / 6
LCM(41,90,13,84) = 4029480 / 6
LCM(41,90,13,84) = 671580
Lets's calculate GCF of 14,60,10,796
2 | 14, 60, 10, 796 |
7, 30, 5, 398 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 671580/2
Therefore the LCM of Fractions 41/14,90/60,13/10,84/796 is 335790
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 796
List of positive integer factors of 796 that divides 796 without a remainder.
1,2,4,199,398,796
Greatest Common Factor
We found the factors 14,60,10,796 . The biggest common factor number is the GCF number.
So the greatest common factor 14,60,10,796 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 41/14, 90/60, 13/10, 84/796?
Answer: LCM of Numerators as per given numbers 41/14, 90/60, 13/10, 84/796 is
LCM of Numerators i.e. for 41,90,13,84 is 671580
GCF of denominators i.e. for 14,60,10,796 is 2.
Thus, LCM of Fractions is 335790.Finally, LCM of Fractions for 41/14, 90/60, 13/10, 84/796 is 335790.