Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 63/920, 3810/1264 quickly i.e. 80010/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 63/920, 3810/1264 is 80010/8.
LCM(63/920, 3810/1264) = 80010/8
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 63/920,3810/1264
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 63,3810
Least Common Multiple of Numerators i.e. LCM of 63,3810 is 80010.
GCF of Denominators means GCF of 920,1264 as per the given fractions.
GCF of 920,1264 is 8 as it is the largest common factor for these numbers.
Lets's calculate LCM of 63,3810
3 | 63, 3810 |
21, 1270 |
∴ So the LCM of the given numbers is 3 x 21 x 1270 = 80010
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 63,3810 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,3810) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(63,3810) x common factors =3 x 1 = 3
LCM(63,3810) = ( 63 × 3810 ) / 3
LCM(63,3810) = 240030 / 3
LCM(63,3810) = 80010
Lets's calculate GCF of 920,1264
2 | 920, 1264 |
2 | 460, 632 |
2 | 230, 316 |
115, 158 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80010/8
Therefore the LCM of Fractions 63/920,3810/1264 is 80010/8
Factors of 920
List of positive integer factors of 920 that divides 920 without a remainder.
1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920
Factors of 1264
List of positive integer factors of 1264 that divides 1264 without a remainder.
1,2,4,8,16,79,158,316,632,1264
Greatest Common Factor
We found the factors 920,1264 . The biggest common factor number is the GCF number.
So the greatest common factor 920,1264 is 8.
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 63/920, 3810/1264?
Answer: LCM of Numerators as per given numbers 63/920, 3810/1264 is
LCM of Numerators i.e. for 63,3810 is 80010
GCF of denominators i.e. for 920,1264 is 8.
Thus, LCM of Fractions is 80010/8.Finally, LCM of Fractions for 63/920, 3810/1264 is 80010/8.