Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 236/626, 4056/6310 quickly i.e. 119652 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 236/626, 4056/6310 is 119652.
LCM(236/626, 4056/6310) = 119652
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 236/626,4056/6310
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 236,4056
Least Common Multiple of Numerators i.e. LCM of 236,4056 is 239304.
GCF of Denominators means GCF of 626,6310 as per the given fractions.
GCF of 626,6310 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 236,4056
2 | 236, 4056 |
2 | 118, 2028 |
59, 1014 |
∴ So the LCM of the given numbers is 2 x 2 x 59 x 1014 = 239304
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 236,4056 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(236,4056) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(236,4056) x common factors =4 x 1 = 4
LCM(236,4056) = ( 236 × 4056 ) / 4
LCM(236,4056) = 957216 / 4
LCM(236,4056) = 239304
Lets's calculate GCF of 626,6310
2 | 626, 6310 |
313, 3155 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 239304/2
Therefore the LCM of Fractions 236/626,4056/6310 is 119652
Factors of 626
List of positive integer factors of 626 that divides 626 without a remainder.
1,2,313,626
Factors of 6310
List of positive integer factors of 6310 that divides 6310 without a remainder.
1,2,5,10,631,1262,3155,6310
Greatest Common Factor
We found the factors 626,6310 . The biggest common factor number is the GCF number.
So the greatest common factor 626,6310 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 236/626, 4056/6310?
Answer: LCM of Numerators as per given numbers 236/626, 4056/6310 is
LCM of Numerators i.e. for 236,4056 is 239304
GCF of denominators i.e. for 626,6310 is 2.
Thus, LCM of Fractions is 119652.Finally, LCM of Fractions for 236/626, 4056/6310 is 119652.