Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 73/158, 32/428, 859/345 quickly i.e. 2006624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 73/158, 32/428, 859/345 is 2006624.
LCM(73/158, 32/428, 859/345) = 2006624
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 73/158,32/428,859/345
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 73,32,859
Least Common Multiple of Numerators i.e. LCM of 73,32,859 is 2006624.
GCF of Denominators means GCF of 158,428,345 as per the given fractions.
GCF of 158,428,345 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 73,32,859
Given numbers has no common factors except 1. So, there LCM is their product i.e 2006624
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 73,32,859 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,32,859) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,32,859) x common factors =1 x 1 = 1
LCM(73,32,859) = ( 73 × 32 × 859 ) / 1
LCM(73,32,859) = 2006624 / 1
LCM(73,32,859) = 2006624
Lets's calculate GCF of 158,428,345
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2006624/1
Therefore the LCM of Fractions 73/158,32/428,859/345 is 2006624
Factors of 158
List of positive integer factors of 158 that divides 158 without a remainder.
1,2,79,158
Factors of 428
List of positive integer factors of 428 that divides 428 without a remainder.
1,2,4,107,214,428
Factors of 345
List of positive integer factors of 345 that divides 345 without a remainder.
1,3,5,15,23,69,115,345
Greatest Common Factor
We found the factors 158,428,345 . The biggest common factor number is the GCF number.
So the greatest common factor 158,428,345 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 73/158, 32/428, 859/345?
Answer: LCM of Numerators as per given numbers 73/158, 32/428, 859/345 is
LCM of Numerators i.e. for 73,32,859 is 2006624
GCF of denominators i.e. for 158,428,345 is 1.
Thus, LCM of Fractions is 2006624.Finally, LCM of Fractions for 73/158, 32/428, 859/345 is 2006624.