Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 65/21, 37/22, 29/90, 60/860 quickly i.e. 836940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 65/21, 37/22, 29/90, 60/860 is 836940.
LCM(65/21, 37/22, 29/90, 60/860) = 836940
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 65/21,37/22,29/90,60/860
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 65,37,29,60
Least Common Multiple of Numerators i.e. LCM of 65,37,29,60 is 836940.
GCF of Denominators means GCF of 21,22,90,860 as per the given fractions.
GCF of 21,22,90,860 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 65,37,29,60
5 | 65, 37, 29, 60 |
13, 37, 29, 12 |
∴ So the LCM of the given numbers is 5 x 13 x 37 x 29 x 12 = 836940
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 65,37,29,60 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,37,29,60) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(65,37,29,60) x common factors =1 x 5 = 5
LCM(65,37,29,60) = ( 65 × 37 × 29 × 60 ) / 5
LCM(65,37,29,60) = 4184700 / 5
LCM(65,37,29,60) = 836940
Lets's calculate GCF of 21,22,90,860
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 836940/1
Therefore the LCM of Fractions 65/21,37/22,29/90,60/860 is 836940
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 860
List of positive integer factors of 860 that divides 860 without a remainder.
1,2,4,5,10,20,43,86,172,215,430,860
Greatest Common Factor
We found the factors 21,22,90,860 . The biggest common factor number is the GCF number.
So the greatest common factor 21,22,90,860 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 65/21, 37/22, 29/90, 60/860?
Answer: LCM of Numerators as per given numbers 65/21, 37/22, 29/90, 60/860 is
LCM of Numerators i.e. for 65,37,29,60 is 836940
GCF of denominators i.e. for 21,22,90,860 is 1.
Thus, LCM of Fractions is 836940.Finally, LCM of Fractions for 65/21, 37/22, 29/90, 60/860 is 836940.