Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 889/28, 158/6009 quickly i.e. 140462 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 889/28, 158/6009 is 140462.
LCM(889/28, 158/6009) = 140462
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 889/28,158/6009
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 889,158
Least Common Multiple of Numerators i.e. LCM of 889,158 is 140462.
GCF of Denominators means GCF of 28,6009 as per the given fractions.
GCF of 28,6009 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 889,158
Given numbers has no common factors except 1. So, there LCM is their product i.e 140462
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 889,158 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(889,158) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(889,158) x common factors =1 x 1 = 1
LCM(889,158) = ( 889 × 158 ) / 1
LCM(889,158) = 140462 / 1
LCM(889,158) = 140462
Lets's calculate GCF of 28,6009
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 140462/1
Therefore the LCM of Fractions 889/28,158/6009 is 140462
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 6009
List of positive integer factors of 6009 that divides 6009 without a remainder.
1,3,2003,6009
Greatest Common Factor
We found the factors 28,6009 . The biggest common factor number is the GCF number.
So the greatest common factor 28,6009 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 889/28, 158/6009?
Answer: LCM of Numerators as per given numbers 889/28, 158/6009 is
LCM of Numerators i.e. for 889,158 is 140462
GCF of denominators i.e. for 28,6009 is 1.
Thus, LCM of Fractions is 140462.Finally, LCM of Fractions for 889/28, 158/6009 is 140462.