Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 95/995, 84/508, 873/987 quickly i.e. 2322180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 95/995, 84/508, 873/987 is 2322180.
LCM(95/995, 84/508, 873/987) = 2322180
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 95/995,84/508,873/987
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 95,84,873
Least Common Multiple of Numerators i.e. LCM of 95,84,873 is 2322180.
GCF of Denominators means GCF of 995,508,987 as per the given fractions.
GCF of 995,508,987 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 95,84,873
3 | 95, 84, 873 |
95, 28, 291 |
∴ So the LCM of the given numbers is 3 x 95 x 28 x 291 = 2322180
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 95,84,873 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,84,873) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(95,84,873) x common factors =1 x 3 = 3
LCM(95,84,873) = ( 95 × 84 × 873 ) / 3
LCM(95,84,873) = 6966540 / 3
LCM(95,84,873) = 2322180
Lets's calculate GCF of 995,508,987
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2322180/1
Therefore the LCM of Fractions 95/995,84/508,873/987 is 2322180
Factors of 995
List of positive integer factors of 995 that divides 995 without a remainder.
1,5,199,995
Factors of 508
List of positive integer factors of 508 that divides 508 without a remainder.
1,2,4,127,254,508
Factors of 987
List of positive integer factors of 987 that divides 987 without a remainder.
1,3,7,21,47,141,329,987
Greatest Common Factor
We found the factors 995,508,987 . The biggest common factor number is the GCF number.
So the greatest common factor 995,508,987 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 95/995, 84/508, 873/987?
Answer: LCM of Numerators as per given numbers 95/995, 84/508, 873/987 is
LCM of Numerators i.e. for 95,84,873 is 2322180
GCF of denominators i.e. for 995,508,987 is 1.
Thus, LCM of Fractions is 2322180.Finally, LCM of Fractions for 95/995, 84/508, 873/987 is 2322180.