Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 636/202, 1218/670 quickly i.e. 64554 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 636/202, 1218/670 is 64554.
LCM(636/202, 1218/670) = 64554
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 636/202,1218/670
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 636,1218
Least Common Multiple of Numerators i.e. LCM of 636,1218 is 129108.
GCF of Denominators means GCF of 202,670 as per the given fractions.
GCF of 202,670 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 636,1218
2 | 636, 1218 |
3 | 318, 609 |
106, 203 |
∴ So the LCM of the given numbers is 2 x 3 x 106 x 203 = 129108
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 636,1218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(636,1218) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(636,1218) x common factors =6 x 1 = 6
LCM(636,1218) = ( 636 × 1218 ) / 6
LCM(636,1218) = 774648 / 6
LCM(636,1218) = 129108
Lets's calculate GCF of 202,670
2 | 202, 670 |
101, 335 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 129108/2
Therefore the LCM of Fractions 636/202,1218/670 is 64554
Factors of 202
List of positive integer factors of 202 that divides 202 without a remainder.
1,2,101,202
Factors of 670
List of positive integer factors of 670 that divides 670 without a remainder.
1,2,5,10,67,134,335,670
Greatest Common Factor
We found the factors 202,670 . The biggest common factor number is the GCF number.
So the greatest common factor 202,670 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 636/202, 1218/670?
Answer: LCM of Numerators as per given numbers 636/202, 1218/670 is
LCM of Numerators i.e. for 636,1218 is 129108
GCF of denominators i.e. for 202,670 is 2.
Thus, LCM of Fractions is 64554.Finally, LCM of Fractions for 636/202, 1218/670 is 64554.