Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 975/87, 899/8994 quickly i.e. 292175 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 975/87, 899/8994 is 292175.
LCM(975/87, 899/8994) = 292175
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 975/87,899/8994
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 975,899
Least Common Multiple of Numerators i.e. LCM of 975,899 is 876525.
GCF of Denominators means GCF of 87,8994 as per the given fractions.
GCF of 87,8994 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 975,899
Given numbers has no common factors except 1. So, there LCM is their product i.e 876525
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 975,899 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(975,899) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(975,899) x common factors =1 x 1 = 1
LCM(975,899) = ( 975 × 899 ) / 1
LCM(975,899) = 876525 / 1
LCM(975,899) = 876525
Lets's calculate GCF of 87,8994
3 | 87, 8994 |
29, 2998 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 876525/3
Therefore the LCM of Fractions 975/87,899/8994 is 292175
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 8994
List of positive integer factors of 8994 that divides 8994 without a remainder.
1,2,3,6,1499,2998,4497,8994
Greatest Common Factor
We found the factors 87,8994 . The biggest common factor number is the GCF number.
So the greatest common factor 87,8994 is 3.
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 975/87, 899/8994?
Answer: LCM of Numerators as per given numbers 975/87, 899/8994 is
LCM of Numerators i.e. for 975,899 is 876525
GCF of denominators i.e. for 87,8994 is 3.
Thus, LCM of Fractions is 292175.Finally, LCM of Fractions for 975/87, 899/8994 is 292175.