Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 19/583, 861/504, 179/802 quickly i.e. 2928261 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 19/583, 861/504, 179/802 is 2928261.
LCM(19/583, 861/504, 179/802) = 2928261
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 19/583,861/504,179/802
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 19,861,179
Least Common Multiple of Numerators i.e. LCM of 19,861,179 is 2928261.
GCF of Denominators means GCF of 583,504,802 as per the given fractions.
GCF of 583,504,802 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 19,861,179
Given numbers has no common factors except 1. So, there LCM is their product i.e 2928261
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 19,861,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,861,179) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,861,179) x common factors =1 x 1 = 1
LCM(19,861,179) = ( 19 × 861 × 179 ) / 1
LCM(19,861,179) = 2928261 / 1
LCM(19,861,179) = 2928261
Lets's calculate GCF of 583,504,802
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2928261/1
Therefore the LCM of Fractions 19/583,861/504,179/802 is 2928261
Factors of 583
List of positive integer factors of 583 that divides 583 without a remainder.
1,11,53,583
Factors of 504
List of positive integer factors of 504 that divides 504 without a remainder.
1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504
Factors of 802
List of positive integer factors of 802 that divides 802 without a remainder.
1,2,401,802
Greatest Common Factor
We found the factors 583,504,802 . The biggest common factor number is the GCF number.
So the greatest common factor 583,504,802 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 19/583, 861/504, 179/802?
Answer: LCM of Numerators as per given numbers 19/583, 861/504, 179/802 is
LCM of Numerators i.e. for 19,861,179 is 2928261
GCF of denominators i.e. for 583,504,802 is 1.
Thus, LCM of Fractions is 2928261.Finally, LCM of Fractions for 19/583, 861/504, 179/802 is 2928261.