Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 23/70, 99/36, 19/165 quickly i.e. 43263 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 23/70, 99/36, 19/165 is 43263.
LCM(23/70, 99/36, 19/165) = 43263
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 23/70,99/36,19/165
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 23,99,19
Least Common Multiple of Numerators i.e. LCM of 23,99,19 is 43263.
GCF of Denominators means GCF of 70,36,165 as per the given fractions.
GCF of 70,36,165 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 23,99,19
Given numbers has no common factors except 1. So, there LCM is their product i.e 43263
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 23,99,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,99,19) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,99,19) x common factors =1 x 1 = 1
LCM(23,99,19) = ( 23 × 99 × 19 ) / 1
LCM(23,99,19) = 43263 / 1
LCM(23,99,19) = 43263
Lets's calculate GCF of 70,36,165
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43263/1
Therefore the LCM of Fractions 23/70,99/36,19/165 is 43263
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 165
List of positive integer factors of 165 that divides 165 without a remainder.
1,3,5,11,15,33,55,165
Greatest Common Factor
We found the factors 70,36,165 . The biggest common factor number is the GCF number.
So the greatest common factor 70,36,165 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 23/70, 99/36, 19/165?
Answer: LCM of Numerators as per given numbers 23/70, 99/36, 19/165 is
LCM of Numerators i.e. for 23,99,19 is 43263
GCF of denominators i.e. for 70,36,165 is 1.
Thus, LCM of Fractions is 43263.Finally, LCM of Fractions for 23/70, 99/36, 19/165 is 43263.