Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 19/824, 59/335, 553/486 quickly i.e. 619913 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 19/824, 59/335, 553/486 is 619913.
LCM(19/824, 59/335, 553/486) = 619913
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 19/824,59/335,553/486
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 19,59,553
Least Common Multiple of Numerators i.e. LCM of 19,59,553 is 619913.
GCF of Denominators means GCF of 824,335,486 as per the given fractions.
GCF of 824,335,486 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 19,59,553
Given numbers has no common factors except 1. So, there LCM is their product i.e 619913
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 19,59,553 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,59,553) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,59,553) x common factors =1 x 1 = 1
LCM(19,59,553) = ( 19 × 59 × 553 ) / 1
LCM(19,59,553) = 619913 / 1
LCM(19,59,553) = 619913
Lets's calculate GCF of 824,335,486
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 619913/1
Therefore the LCM of Fractions 19/824,59/335,553/486 is 619913
Factors of 824
List of positive integer factors of 824 that divides 824 without a remainder.
1,2,4,8,103,206,412,824
Factors of 335
List of positive integer factors of 335 that divides 335 without a remainder.
1,5,67,335
Factors of 486
List of positive integer factors of 486 that divides 486 without a remainder.
1,2,3,6,9,18,27,54,81,162,243,486
Greatest Common Factor
We found the factors 824,335,486 . The biggest common factor number is the GCF number.
So the greatest common factor 824,335,486 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 19/824, 59/335, 553/486?
Answer: LCM of Numerators as per given numbers 19/824, 59/335, 553/486 is
LCM of Numerators i.e. for 19,59,553 is 619913
GCF of denominators i.e. for 824,335,486 is 1.
Thus, LCM of Fractions is 619913.Finally, LCM of Fractions for 19/824, 59/335, 553/486 is 619913.