Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 63/660, 18/302 quickly i.e. 63 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 63/660, 18/302 is 63.
LCM(63/660, 18/302) = 63
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 63/660,18/302
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 63,18
Least Common Multiple of Numerators i.e. LCM of 63,18 is 126.
GCF of Denominators means GCF of 660,302 as per the given fractions.
GCF of 660,302 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 63,18
3 | 63, 18 |
3 | 21, 6 |
7, 2 |
∴ So the LCM of the given numbers is 3 x 3 x 7 x 2 = 126
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 63,18 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,18) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(63,18) x common factors =9 x 1 = 9
LCM(63,18) = ( 63 × 18 ) / 9
LCM(63,18) = 1134 / 9
LCM(63,18) = 126
Lets's calculate GCF of 660,302
2 | 660, 302 |
330, 151 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 126/2
Therefore the LCM of Fractions 63/660,18/302 is 63
Factors of 660
List of positive integer factors of 660 that divides 660 without a remainder.
1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660
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 660,302 . The biggest common factor number is the GCF number.
So the greatest common factor 660,302 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 63/660, 18/302?
Answer: LCM of Numerators as per given numbers 63/660, 18/302 is
LCM of Numerators i.e. for 63,18 is 126
GCF of denominators i.e. for 660,302 is 2.
Thus, LCM of Fractions is 63.Finally, LCM of Fractions for 63/660, 18/302 is 63.