Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 19/42, 484/92, 913/509 quickly i.e. 763268 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 19/42, 484/92, 913/509 is 763268.
LCM(19/42, 484/92, 913/509) = 763268
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 19/42,484/92,913/509
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 19,484,913
Least Common Multiple of Numerators i.e. LCM of 19,484,913 is 763268.
GCF of Denominators means GCF of 42,92,509 as per the given fractions.
GCF of 42,92,509 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 19,484,913
11 | 19, 484, 913 |
19, 44, 83 |
∴ So the LCM of the given numbers is 11 x 19 x 44 x 83 = 763268
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 19,484,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,484,913) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(19,484,913) x common factors =1 x 11 = 11
LCM(19,484,913) = ( 19 × 484 × 913 ) / 11
LCM(19,484,913) = 8395948 / 11
LCM(19,484,913) = 763268
Lets's calculate GCF of 42,92,509
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 763268/1
Therefore the LCM of Fractions 19/42,484/92,913/509 is 763268
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 509
List of positive integer factors of 509 that divides 509 without a remainder.
1,509
Greatest Common Factor
We found the factors 42,92,509 . The biggest common factor number is the GCF number.
So the greatest common factor 42,92,509 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 19/42, 484/92, 913/509?
Answer: LCM of Numerators as per given numbers 19/42, 484/92, 913/509 is
LCM of Numerators i.e. for 19,484,913 is 763268
GCF of denominators i.e. for 42,92,509 is 1.
Thus, LCM of Fractions is 763268.Finally, LCM of Fractions for 19/42, 484/92, 913/509 is 763268.