Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4/509, 53/677, 36/112 quickly i.e. 1908 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4/509, 53/677, 36/112 is 1908.
LCM(4/509, 53/677, 36/112) = 1908
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4/509,53/677,36/112
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 4,53,36
Least Common Multiple of Numerators i.e. LCM of 4,53,36 is 1908.
GCF of Denominators means GCF of 509,677,112 as per the given fractions.
GCF of 509,677,112 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4,53,36
2 | 4, 53, 36 |
2 | 2, 53, 18 |
1, 53, 9 |
∴ So the LCM of the given numbers is 2 x 2 x 1 x 53 x 9 = 1908
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 4,53,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4,53,36) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(4,53,36) x common factors =1 x 4 = 4
LCM(4,53,36) = ( 4 × 53 × 36 ) / 4
LCM(4,53,36) = 7632 / 4
LCM(4,53,36) = 1908
Lets's calculate GCF of 509,677,112
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1908/1
Therefore the LCM of Fractions 4/509,53/677,36/112 is 1908
Factors of 509
List of positive integer factors of 509 that divides 509 without a remainder.
1,509
Factors of 677
List of positive integer factors of 677 that divides 677 without a remainder.
1,677
Factors of 112
List of positive integer factors of 112 that divides 112 without a remainder.
1,2,4,7,8,14,16,28,56,112
Greatest Common Factor
We found the factors 509,677,112 . The biggest common factor number is the GCF number.
So the greatest common factor 509,677,112 is 1.
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 4/509, 53/677, 36/112?
Answer: LCM of Numerators as per given numbers 4/509, 53/677, 36/112 is
LCM of Numerators i.e. for 4,53,36 is 1908
GCF of denominators i.e. for 509,677,112 is 1.
Thus, LCM of Fractions is 1908.Finally, LCM of Fractions for 4/509, 53/677, 36/112 is 1908.