Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 19/419, 88/970, 117/142 quickly i.e. 195624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 19/419, 88/970, 117/142 is 195624.
LCM(19/419, 88/970, 117/142) = 195624
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 19/419,88/970,117/142
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 19,88,117
Least Common Multiple of Numerators i.e. LCM of 19,88,117 is 195624.
GCF of Denominators means GCF of 419,970,142 as per the given fractions.
GCF of 419,970,142 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 19,88,117
Given numbers has no common factors except 1. So, there LCM is their product i.e 195624
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 19,88,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,88,117) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,88,117) x common factors =1 x 1 = 1
LCM(19,88,117) = ( 19 × 88 × 117 ) / 1
LCM(19,88,117) = 195624 / 1
LCM(19,88,117) = 195624
Lets's calculate GCF of 419,970,142
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 195624/1
Therefore the LCM of Fractions 19/419,88/970,117/142 is 195624
Factors of 419
List of positive integer factors of 419 that divides 419 without a remainder.
1,419
Factors of 970
List of positive integer factors of 970 that divides 970 without a remainder.
1,2,5,10,97,194,485,970
Factors of 142
List of positive integer factors of 142 that divides 142 without a remainder.
1,2,71,142
Greatest Common Factor
We found the factors 419,970,142 . The biggest common factor number is the GCF number.
So the greatest common factor 419,970,142 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 19/419, 88/970, 117/142?
Answer: LCM of Numerators as per given numbers 19/419, 88/970, 117/142 is
LCM of Numerators i.e. for 19,88,117 is 195624
GCF of denominators i.e. for 419,970,142 is 1.
Thus, LCM of Fractions is 195624.Finally, LCM of Fractions for 19/419, 88/970, 117/142 is 195624.