Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 36/35, 60/17, 85/29, 21/673 quickly i.e. 21420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 36/35, 60/17, 85/29, 21/673 is 21420.
LCM(36/35, 60/17, 85/29, 21/673) = 21420
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 36/35,60/17,85/29,21/673
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 36,60,85,21
Least Common Multiple of Numerators i.e. LCM of 36,60,85,21 is 21420.
GCF of Denominators means GCF of 35,17,29,673 as per the given fractions.
GCF of 35,17,29,673 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 36,60,85,21
2 | 36, 60, 85, 21 |
2 | 18, 30, 85, 21 |
3 | 9, 15, 85, 21 |
5 | 3, 5, 85, 7 |
3, 1, 17, 7 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 3 x 1 x 17 x 7 = 21420
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 36,60,85,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,60,85,21) = 1
common factors(in case of two or more numbers have common factors) = 180
GCF(36,60,85,21) x common factors =1 x 180 = 180
LCM(36,60,85,21) = ( 36 × 60 × 85 × 21 ) / 180
LCM(36,60,85,21) = 3855600 / 180
LCM(36,60,85,21) = 21420
Lets's calculate GCF of 35,17,29,673
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21420/1
Therefore the LCM of Fractions 36/35,60/17,85/29,21/673 is 21420
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 673
List of positive integer factors of 673 that divides 673 without a remainder.
1,673
Greatest Common Factor
We found the factors 35,17,29,673 . The biggest common factor number is the GCF number.
So the greatest common factor 35,17,29,673 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 36/35, 60/17, 85/29, 21/673?
Answer: LCM of Numerators as per given numbers 36/35, 60/17, 85/29, 21/673 is
LCM of Numerators i.e. for 36,60,85,21 is 21420
GCF of denominators i.e. for 35,17,29,673 is 1.
Thus, LCM of Fractions is 21420.Finally, LCM of Fractions for 36/35, 60/17, 85/29, 21/673 is 21420.