Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 158/63, 171/63, 581/175 quickly i.e. 2242494 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 158/63, 171/63, 581/175 is 2242494.
LCM(158/63, 171/63, 581/175) = 2242494
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 158/63,171/63,581/175
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 158,171,581
Least Common Multiple of Numerators i.e. LCM of 158,171,581 is 15697458.
GCF of Denominators means GCF of 63,63,175 as per the given fractions.
GCF of 63,63,175 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 158,171,581
Given numbers has no common factors except 1. So, there LCM is their product i.e 15697458
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 158,171,581 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(158,171,581) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(158,171,581) x common factors =1 x 1 = 1
LCM(158,171,581) = ( 158 × 171 × 581 ) / 1
LCM(158,171,581) = 15697458 / 1
LCM(158,171,581) = 15697458
Lets's calculate GCF of 63,63,175
7 | 63, 63, 175 |
9, 9, 25 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15697458/7
Therefore the LCM of Fractions 158/63,171/63,581/175 is 2242494
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 175
List of positive integer factors of 175 that divides 175 without a remainder.
1,5,7,25,35,175
Greatest Common Factor
We found the factors 63,63,175 . The biggest common factor number is the GCF number.
So the greatest common factor 63,63,175 is 7.
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 158/63, 171/63, 581/175?
Answer: LCM of Numerators as per given numbers 158/63, 171/63, 581/175 is
LCM of Numerators i.e. for 158,171,581 is 15697458
GCF of denominators i.e. for 63,63,175 is 7.
Thus, LCM of Fractions is 2242494.Finally, LCM of Fractions for 158/63, 171/63, 581/175 is 2242494.