Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 509/24, 786/33, 404/614 quickly i.e. 80814948 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 509/24, 786/33, 404/614 is 80814948.
LCM(509/24, 786/33, 404/614) = 80814948
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 509/24,786/33,404/614
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 509,786,404
Least Common Multiple of Numerators i.e. LCM of 509,786,404 is 80814948.
GCF of Denominators means GCF of 24,33,614 as per the given fractions.
GCF of 24,33,614 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 509,786,404
2 | 509, 786, 404 |
509, 393, 202 |
∴ So the LCM of the given numbers is 2 x 509 x 393 x 202 = 80814948
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 509,786,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(509,786,404) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(509,786,404) x common factors =1 x 2 = 2
LCM(509,786,404) = ( 509 × 786 × 404 ) / 2
LCM(509,786,404) = 161629896 / 2
LCM(509,786,404) = 80814948
Lets's calculate GCF of 24,33,614
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80814948/1
Therefore the LCM of Fractions 509/24,786/33,404/614 is 80814948
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 614
List of positive integer factors of 614 that divides 614 without a remainder.
1,2,307,614
Greatest Common Factor
We found the factors 24,33,614 . The biggest common factor number is the GCF number.
So the greatest common factor 24,33,614 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 509/24, 786/33, 404/614?
Answer: LCM of Numerators as per given numbers 509/24, 786/33, 404/614 is
LCM of Numerators i.e. for 509,786,404 is 80814948
GCF of denominators i.e. for 24,33,614 is 1.
Thus, LCM of Fractions is 80814948.Finally, LCM of Fractions for 509/24, 786/33, 404/614 is 80814948.