Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 995/94, 716/99, 683/987 quickly i.e. 486582860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 995/94, 716/99, 683/987 is 486582860.
LCM(995/94, 716/99, 683/987) = 486582860
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 995/94,716/99,683/987
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 995,716,683
Least Common Multiple of Numerators i.e. LCM of 995,716,683 is 486582860.
GCF of Denominators means GCF of 94,99,987 as per the given fractions.
GCF of 94,99,987 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 995,716,683
Given numbers has no common factors except 1. So, there LCM is their product i.e 486582860
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 995,716,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(995,716,683) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(995,716,683) x common factors =1 x 1 = 1
LCM(995,716,683) = ( 995 × 716 × 683 ) / 1
LCM(995,716,683) = 486582860 / 1
LCM(995,716,683) = 486582860
Lets's calculate GCF of 94,99,987
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 486582860/1
Therefore the LCM of Fractions 995/94,716/99,683/987 is 486582860
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
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 94,99,987 . The biggest common factor number is the GCF number.
So the greatest common factor 94,99,987 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 995/94, 716/99, 683/987?
Answer: LCM of Numerators as per given numbers 995/94, 716/99, 683/987 is
LCM of Numerators i.e. for 995,716,683 is 486582860
GCF of denominators i.e. for 94,99,987 is 1.
Thus, LCM of Fractions is 486582860.Finally, LCM of Fractions for 995/94, 716/99, 683/987 is 486582860.