Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4030/616, 4744/536 quickly i.e. 1194895 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4030/616, 4744/536 is 1194895.
LCM(4030/616, 4744/536) = 1194895
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4030/616,4744/536
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 4030,4744
Least Common Multiple of Numerators i.e. LCM of 4030,4744 is 9559160.
GCF of Denominators means GCF of 616,536 as per the given fractions.
GCF of 616,536 is 8 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4030,4744
2 | 4030, 4744 |
2015, 2372 |
∴ So the LCM of the given numbers is 2 x 2015 x 2372 = 9559160
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 4030,4744 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4030,4744) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(4030,4744) x common factors =2 x 1 = 2
LCM(4030,4744) = ( 4030 × 4744 ) / 2
LCM(4030,4744) = 19118320 / 2
LCM(4030,4744) = 9559160
Lets's calculate GCF of 616,536
2 | 616, 536 |
2 | 308, 268 |
2 | 154, 134 |
77, 67 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9559160/8
Therefore the LCM of Fractions 4030/616,4744/536 is 1194895
Factors of 616
List of positive integer factors of 616 that divides 616 without a remainder.
1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616
Factors of 536
List of positive integer factors of 536 that divides 536 without a remainder.
1,2,4,8,67,134,268,536
Greatest Common Factor
We found the factors 616,536 . The biggest common factor number is the GCF number.
So the greatest common factor 616,536 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 4030/616, 4744/536?
Answer: LCM of Numerators as per given numbers 4030/616, 4744/536 is
LCM of Numerators i.e. for 4030,4744 is 9559160
GCF of denominators i.e. for 616,536 is 8.
Thus, LCM of Fractions is 1194895.Finally, LCM of Fractions for 4030/616, 4744/536 is 1194895.