Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 32/177, 46/316, 659/111 quickly i.e. 485024 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 32/177, 46/316, 659/111 is 485024.
LCM(32/177, 46/316, 659/111) = 485024
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 32/177,46/316,659/111
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 32,46,659
Least Common Multiple of Numerators i.e. LCM of 32,46,659 is 485024.
GCF of Denominators means GCF of 177,316,111 as per the given fractions.
GCF of 177,316,111 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 32,46,659
2 | 32, 46, 659 |
16, 23, 659 |
∴ So the LCM of the given numbers is 2 x 16 x 23 x 659 = 485024
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 32,46,659 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,46,659) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(32,46,659) x common factors =1 x 2 = 2
LCM(32,46,659) = ( 32 × 46 × 659 ) / 2
LCM(32,46,659) = 970048 / 2
LCM(32,46,659) = 485024
Lets's calculate GCF of 177,316,111
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 485024/1
Therefore the LCM of Fractions 32/177,46/316,659/111 is 485024
Factors of 177
List of positive integer factors of 177 that divides 177 without a remainder.
1,3,59,177
Factors of 316
List of positive integer factors of 316 that divides 316 without a remainder.
1,2,4,79,158,316
Factors of 111
List of positive integer factors of 111 that divides 111 without a remainder.
1,3,37,111
Greatest Common Factor
We found the factors 177,316,111 . The biggest common factor number is the GCF number.
So the greatest common factor 177,316,111 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 32/177, 46/316, 659/111?
Answer: LCM of Numerators as per given numbers 32/177, 46/316, 659/111 is
LCM of Numerators i.e. for 32,46,659 is 485024
GCF of denominators i.e. for 177,316,111 is 1.
Thus, LCM of Fractions is 485024.Finally, LCM of Fractions for 32/177, 46/316, 659/111 is 485024.