Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 232/138, 162/642, 659/350 quickly i.e. 6191964 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 232/138, 162/642, 659/350 is 6191964.
LCM(232/138, 162/642, 659/350) = 6191964
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 232/138,162/642,659/350
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 232,162,659
Least Common Multiple of Numerators i.e. LCM of 232,162,659 is 12383928.
GCF of Denominators means GCF of 138,642,350 as per the given fractions.
GCF of 138,642,350 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 232,162,659
2 | 232, 162, 659 |
116, 81, 659 |
∴ So the LCM of the given numbers is 2 x 116 x 81 x 659 = 12383928
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 232,162,659 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(232,162,659) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(232,162,659) x common factors =1 x 2 = 2
LCM(232,162,659) = ( 232 × 162 × 659 ) / 2
LCM(232,162,659) = 24767856 / 2
LCM(232,162,659) = 12383928
Lets's calculate GCF of 138,642,350
2 | 138, 642, 350 |
69, 321, 175 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12383928/2
Therefore the LCM of Fractions 232/138,162/642,659/350 is 6191964
Factors of 138
List of positive integer factors of 138 that divides 138 without a remainder.
1,2,3,6,23,46,69,138
Factors of 642
List of positive integer factors of 642 that divides 642 without a remainder.
1,2,3,6,107,214,321,642
Factors of 350
List of positive integer factors of 350 that divides 350 without a remainder.
1,2,5,7,10,14,25,35,50,70,175,350
Greatest Common Factor
We found the factors 138,642,350 . The biggest common factor number is the GCF number.
So the greatest common factor 138,642,350 is 2.
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 232/138, 162/642, 659/350?
Answer: LCM of Numerators as per given numbers 232/138, 162/642, 659/350 is
LCM of Numerators i.e. for 232,162,659 is 12383928
GCF of denominators i.e. for 138,642,350 is 2.
Thus, LCM of Fractions is 6191964.Finally, LCM of Fractions for 232/138, 162/642, 659/350 is 6191964.