Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 424/636, 3739/552 quickly i.e. 1585336/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 424/636, 3739/552 is 1585336/12.
LCM(424/636, 3739/552) = 1585336/12
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 424/636,3739/552
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 424,3739
Least Common Multiple of Numerators i.e. LCM of 424,3739 is 1585336.
GCF of Denominators means GCF of 636,552 as per the given fractions.
GCF of 636,552 is 12 as it is the largest common factor for these numbers.
Lets's calculate LCM of 424,3739
Given numbers has no common factors except 1. So, there LCM is their product i.e 1585336
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 424,3739 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(424,3739) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(424,3739) x common factors =1 x 1 = 1
LCM(424,3739) = ( 424 × 3739 ) / 1
LCM(424,3739) = 1585336 / 1
LCM(424,3739) = 1585336
Lets's calculate GCF of 636,552
2 | 636, 552 |
2 | 318, 276 |
3 | 159, 138 |
53, 46 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1585336/12
Therefore the LCM of Fractions 424/636,3739/552 is 1585336/12
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 552
List of positive integer factors of 552 that divides 552 without a remainder.
1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552
Greatest Common Factor
We found the factors 636,552 . The biggest common factor number is the GCF number.
So the greatest common factor 636,552 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 424/636, 3739/552?
Answer: LCM of Numerators as per given numbers 424/636, 3739/552 is
LCM of Numerators i.e. for 424,3739 is 1585336
GCF of denominators i.e. for 636,552 is 12.
Thus, LCM of Fractions is 1585336/12.Finally, LCM of Fractions for 424/636, 3739/552 is 1585336/12.