Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 173/235, 158/875, 901/756 quickly i.e. 24627934 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 173/235, 158/875, 901/756 is 24627934.
LCM(173/235, 158/875, 901/756) = 24627934
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 173/235,158/875,901/756
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 173,158,901
Least Common Multiple of Numerators i.e. LCM of 173,158,901 is 24627934.
GCF of Denominators means GCF of 235,875,756 as per the given fractions.
GCF of 235,875,756 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 173,158,901
Given numbers has no common factors except 1. So, there LCM is their product i.e 24627934
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 173,158,901 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(173,158,901) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(173,158,901) x common factors =1 x 1 = 1
LCM(173,158,901) = ( 173 × 158 × 901 ) / 1
LCM(173,158,901) = 24627934 / 1
LCM(173,158,901) = 24627934
Lets's calculate GCF of 235,875,756
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24627934/1
Therefore the LCM of Fractions 173/235,158/875,901/756 is 24627934
Factors of 235
List of positive integer factors of 235 that divides 235 without a remainder.
1,5,47,235
Factors of 875
List of positive integer factors of 875 that divides 875 without a remainder.
1,5,7,25,35,125,175,875
Factors of 756
List of positive integer factors of 756 that divides 756 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756
Greatest Common Factor
We found the factors 235,875,756 . The biggest common factor number is the GCF number.
So the greatest common factor 235,875,756 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 173/235, 158/875, 901/756?
Answer: LCM of Numerators as per given numbers 173/235, 158/875, 901/756 is
LCM of Numerators i.e. for 173,158,901 is 24627934
GCF of denominators i.e. for 235,875,756 is 1.
Thus, LCM of Fractions is 24627934.Finally, LCM of Fractions for 173/235, 158/875, 901/756 is 24627934.