Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8/631, 32/475, 20/157 quickly i.e. 160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8/631, 32/475, 20/157 is 160.
LCM(8/631, 32/475, 20/157) = 160
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8/631,32/475,20/157
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 8,32,20
Least Common Multiple of Numerators i.e. LCM of 8,32,20 is 160.
GCF of Denominators means GCF of 631,475,157 as per the given fractions.
GCF of 631,475,157 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8,32,20
2 | 8, 32, 20 |
2 | 4, 16, 10 |
2 | 2, 8, 5 |
1, 4, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 1 x 4 x 5 = 160
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 8,32,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8,32,20) = 4
common factors(in case of two or more numbers have common factors) = 8
GCF(8,32,20) x common factors =4 x 8 = 32
LCM(8,32,20) = ( 8 × 32 × 20 ) / 32
LCM(8,32,20) = 5120 / 32
LCM(8,32,20) = 160
Lets's calculate GCF of 631,475,157
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 160/1
Therefore the LCM of Fractions 8/631,32/475,20/157 is 160
Factors of 631
List of positive integer factors of 631 that divides 631 without a remainder.
1,631
Factors of 475
List of positive integer factors of 475 that divides 475 without a remainder.
1,5,19,25,95,475
Factors of 157
List of positive integer factors of 157 that divides 157 without a remainder.
1,157
Greatest Common Factor
We found the factors 631,475,157 . The biggest common factor number is the GCF number.
So the greatest common factor 631,475,157 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 8/631, 32/475, 20/157?
Answer: LCM of Numerators as per given numbers 8/631, 32/475, 20/157 is
LCM of Numerators i.e. for 8,32,20 is 160
GCF of denominators i.e. for 631,475,157 is 1.
Thus, LCM of Fractions is 160.Finally, LCM of Fractions for 8/631, 32/475, 20/157 is 160.