Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 190/71, 629/9804 quickly i.e. 119510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 190/71, 629/9804 is 119510.
LCM(190/71, 629/9804) = 119510
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 190/71,629/9804
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 190,629
Least Common Multiple of Numerators i.e. LCM of 190,629 is 119510.
GCF of Denominators means GCF of 71,9804 as per the given fractions.
GCF of 71,9804 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 190,629
Given numbers has no common factors except 1. So, there LCM is their product i.e 119510
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 190,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(190,629) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(190,629) x common factors =1 x 1 = 1
LCM(190,629) = ( 190 × 629 ) / 1
LCM(190,629) = 119510 / 1
LCM(190,629) = 119510
Lets's calculate GCF of 71,9804
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 119510/1
Therefore the LCM of Fractions 190/71,629/9804 is 119510
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 9804
List of positive integer factors of 9804 that divides 9804 without a remainder.
1,2,3,4,6,12,19,38,43,57,76,86,114,129,172,228,258,516,817,1634,2451,3268,4902,9804
Greatest Common Factor
We found the factors 71,9804 . The biggest common factor number is the GCF number.
So the greatest common factor 71,9804 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 190/71, 629/9804?
Answer: LCM of Numerators as per given numbers 190/71, 629/9804 is
LCM of Numerators i.e. for 190,629 is 119510
GCF of denominators i.e. for 71,9804 is 1.
Thus, LCM of Fractions is 119510.Finally, LCM of Fractions for 190/71, 629/9804 is 119510.