Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 19/810, 20/980, 574/507 quickly i.e. 109060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 19/810, 20/980, 574/507 is 109060.
LCM(19/810, 20/980, 574/507) = 109060
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 19/810,20/980,574/507
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 19,20,574
Least Common Multiple of Numerators i.e. LCM of 19,20,574 is 109060.
GCF of Denominators means GCF of 810,980,507 as per the given fractions.
GCF of 810,980,507 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 19,20,574
2 | 19, 20, 574 |
19, 10, 287 |
∴ So the LCM of the given numbers is 2 x 19 x 10 x 287 = 109060
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 19,20,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,20,574) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(19,20,574) x common factors =1 x 2 = 2
LCM(19,20,574) = ( 19 × 20 × 574 ) / 2
LCM(19,20,574) = 218120 / 2
LCM(19,20,574) = 109060
Lets's calculate GCF of 810,980,507
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109060/1
Therefore the LCM of Fractions 19/810,20/980,574/507 is 109060
Factors of 810
List of positive integer factors of 810 that divides 810 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810
Factors of 980
List of positive integer factors of 980 that divides 980 without a remainder.
1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980
Factors of 507
List of positive integer factors of 507 that divides 507 without a remainder.
1,3,13,39,169,507
Greatest Common Factor
We found the factors 810,980,507 . The biggest common factor number is the GCF number.
So the greatest common factor 810,980,507 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 19/810, 20/980, 574/507?
Answer: LCM of Numerators as per given numbers 19/810, 20/980, 574/507 is
LCM of Numerators i.e. for 19,20,574 is 109060
GCF of denominators i.e. for 810,980,507 is 1.
Thus, LCM of Fractions is 109060.Finally, LCM of Fractions for 19/810, 20/980, 574/507 is 109060.