Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 732/51, 519/16, 114/508 quickly i.e. 2406084 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 732/51, 519/16, 114/508 is 2406084.
LCM(732/51, 519/16, 114/508) = 2406084
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 732/51,519/16,114/508
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 732,519,114
Least Common Multiple of Numerators i.e. LCM of 732,519,114 is 2406084.
GCF of Denominators means GCF of 51,16,508 as per the given fractions.
GCF of 51,16,508 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 732,519,114
2 | 732, 519, 114 |
3 | 366, 519, 57 |
122, 173, 19 |
∴ So the LCM of the given numbers is 2 x 3 x 122 x 173 x 19 = 2406084
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 732,519,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(732,519,114) = 3
common factors(in case of two or more numbers have common factors) = 6
GCF(732,519,114) x common factors =3 x 6 = 18
LCM(732,519,114) = ( 732 × 519 × 114 ) / 18
LCM(732,519,114) = 43309512 / 18
LCM(732,519,114) = 2406084
Lets's calculate GCF of 51,16,508
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2406084/1
Therefore the LCM of Fractions 732/51,519/16,114/508 is 2406084
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 508
List of positive integer factors of 508 that divides 508 without a remainder.
1,2,4,127,254,508
Greatest Common Factor
We found the factors 51,16,508 . The biggest common factor number is the GCF number.
So the greatest common factor 51,16,508 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 732/51, 519/16, 114/508?
Answer: LCM of Numerators as per given numbers 732/51, 519/16, 114/508 is
LCM of Numerators i.e. for 732,519,114 is 2406084
GCF of denominators i.e. for 51,16,508 is 1.
Thus, LCM of Fractions is 2406084.Finally, LCM of Fractions for 732/51, 519/16, 114/508 is 2406084.