Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 805/28, 9958/875 quickly i.e. 1145170 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 805/28, 9958/875 is 1145170.
LCM(805/28, 9958/875) = 1145170
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 805/28,9958/875
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 805,9958
Least Common Multiple of Numerators i.e. LCM of 805,9958 is 8016190.
GCF of Denominators means GCF of 28,875 as per the given fractions.
GCF of 28,875 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 805,9958
Given numbers has no common factors except 1. So, there LCM is their product i.e 8016190
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 805,9958 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(805,9958) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(805,9958) x common factors =1 x 1 = 1
LCM(805,9958) = ( 805 × 9958 ) / 1
LCM(805,9958) = 8016190 / 1
LCM(805,9958) = 8016190
Lets's calculate GCF of 28,875
7 | 28, 875 |
4, 125 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8016190/7
Therefore the LCM of Fractions 805/28,9958/875 is 1145170
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 875
List of positive integer factors of 875 that divides 875 without a remainder.
1,5,7,25,35,125,175,875
Greatest Common Factor
We found the factors 28,875 . The biggest common factor number is the GCF number.
So the greatest common factor 28,875 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 805/28, 9958/875?
Answer: LCM of Numerators as per given numbers 805/28, 9958/875 is
LCM of Numerators i.e. for 805,9958 is 8016190
GCF of denominators i.e. for 28,875 is 7.
Thus, LCM of Fractions is 1145170.Finally, LCM of Fractions for 805/28, 9958/875 is 1145170.