Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 239/15, 641/73, 152/610 quickly i.e. 23286248 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 239/15, 641/73, 152/610 is 23286248.
LCM(239/15, 641/73, 152/610) = 23286248
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 239/15,641/73,152/610
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 239,641,152
Least Common Multiple of Numerators i.e. LCM of 239,641,152 is 23286248.
GCF of Denominators means GCF of 15,73,610 as per the given fractions.
GCF of 15,73,610 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 239,641,152
Given numbers has no common factors except 1. So, there LCM is their product i.e 23286248
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 239,641,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(239,641,152) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(239,641,152) x common factors =1 x 1 = 1
LCM(239,641,152) = ( 239 × 641 × 152 ) / 1
LCM(239,641,152) = 23286248 / 1
LCM(239,641,152) = 23286248
Lets's calculate GCF of 15,73,610
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23286248/1
Therefore the LCM of Fractions 239/15,641/73,152/610 is 23286248
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 610
List of positive integer factors of 610 that divides 610 without a remainder.
1,2,5,10,61,122,305,610
Greatest Common Factor
We found the factors 15,73,610 . The biggest common factor number is the GCF number.
So the greatest common factor 15,73,610 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 239/15, 641/73, 152/610?
Answer: LCM of Numerators as per given numbers 239/15, 641/73, 152/610 is
LCM of Numerators i.e. for 239,641,152 is 23286248
GCF of denominators i.e. for 15,73,610 is 1.
Thus, LCM of Fractions is 23286248.Finally, LCM of Fractions for 239/15, 641/73, 152/610 is 23286248.