Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 208/636, 7887/5112 quickly i.e. 136708 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 208/636, 7887/5112 is 136708.
LCM(208/636, 7887/5112) = 136708
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 208/636,7887/5112
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 208,7887
Least Common Multiple of Numerators i.e. LCM of 208,7887 is 1640496.
GCF of Denominators means GCF of 636,5112 as per the given fractions.
GCF of 636,5112 is 12 as it is the largest common factor for these numbers.
Lets's calculate LCM of 208,7887
Given numbers has no common factors except 1. So, there LCM is their product i.e 1640496
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 208,7887 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(208,7887) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(208,7887) x common factors =1 x 1 = 1
LCM(208,7887) = ( 208 × 7887 ) / 1
LCM(208,7887) = 1640496 / 1
LCM(208,7887) = 1640496
Lets's calculate GCF of 636,5112
2 | 636, 5112 |
2 | 318, 2556 |
3 | 159, 1278 |
53, 426 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1640496/12
Therefore the LCM of Fractions 208/636,7887/5112 is 136708
Factors of 636
List of positive integer factors of 636 that divides 636 without a remainder.
1,2,3,4,6,12,53,106,159,212,318,636
Factors of 5112
List of positive integer factors of 5112 that divides 5112 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,71,72,142,213,284,426,568,639,852,1278,1704,2556,5112
Greatest Common Factor
We found the factors 636,5112 . The biggest common factor number is the GCF number.
So the greatest common factor 636,5112 is 12.
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 208/636, 7887/5112?
Answer: LCM of Numerators as per given numbers 208/636, 7887/5112 is
LCM of Numerators i.e. for 208,7887 is 1640496
GCF of denominators i.e. for 636,5112 is 12.
Thus, LCM of Fractions is 136708.Finally, LCM of Fractions for 208/636, 7887/5112 is 136708.