Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 21/860, 16/302 quickly i.e. 168 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 21/860, 16/302 is 168.
LCM(21/860, 16/302) = 168
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 21/860,16/302
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 21,16
Least Common Multiple of Numerators i.e. LCM of 21,16 is 336.
GCF of Denominators means GCF of 860,302 as per the given fractions.
GCF of 860,302 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 21,16
Given numbers has no common factors except 1. So, there LCM is their product i.e 336
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 21,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,16) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(21,16) x common factors =1 x 1 = 1
LCM(21,16) = ( 21 × 16 ) / 1
LCM(21,16) = 336 / 1
LCM(21,16) = 336
Lets's calculate GCF of 860,302
2 | 860, 302 |
430, 151 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 336/2
Therefore the LCM of Fractions 21/860,16/302 is 168
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
Factors of 302
List of positive integer factors of 302 that divides 302 without a remainder.
1,2,151,302
Greatest Common Factor
We found the factors 860,302 . The biggest common factor number is the GCF number.
So the greatest common factor 860,302 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 21/860, 16/302?
Answer: LCM of Numerators as per given numbers 21/860, 16/302 is
LCM of Numerators i.e. for 21,16 is 336
GCF of denominators i.e. for 860,302 is 2.
Thus, LCM of Fractions is 168.Finally, LCM of Fractions for 21/860, 16/302 is 168.