Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 875/192, 649/864, 174/581 quickly i.e. 98810250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 875/192, 649/864, 174/581 is 98810250.
LCM(875/192, 649/864, 174/581) = 98810250
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 875/192,649/864,174/581
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 875,649,174
Least Common Multiple of Numerators i.e. LCM of 875,649,174 is 98810250.
GCF of Denominators means GCF of 192,864,581 as per the given fractions.
GCF of 192,864,581 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 875,649,174
Given numbers has no common factors except 1. So, there LCM is their product i.e 98810250
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 875,649,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(875,649,174) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(875,649,174) x common factors =1 x 1 = 1
LCM(875,649,174) = ( 875 × 649 × 174 ) / 1
LCM(875,649,174) = 98810250 / 1
LCM(875,649,174) = 98810250
Lets's calculate GCF of 192,864,581
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 98810250/1
Therefore the LCM of Fractions 875/192,649/864,174/581 is 98810250
Factors of 192
List of positive integer factors of 192 that divides 192 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,192
Factors of 864
List of positive integer factors of 864 that divides 864 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864
Factors of 581
List of positive integer factors of 581 that divides 581 without a remainder.
1,7,83,581
Greatest Common Factor
We found the factors 192,864,581 . The biggest common factor number is the GCF number.
So the greatest common factor 192,864,581 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 875/192, 649/864, 174/581?
Answer: LCM of Numerators as per given numbers 875/192, 649/864, 174/581 is
LCM of Numerators i.e. for 875,649,174 is 98810250
GCF of denominators i.e. for 192,864,581 is 1.
Thus, LCM of Fractions is 98810250.Finally, LCM of Fractions for 875/192, 649/864, 174/581 is 98810250.