Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 895/96, 890/9988 quickly i.e. 159310/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 895/96, 890/9988 is 159310/4.
LCM(895/96, 890/9988) = 159310/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 895/96,890/9988
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 895,890
Least Common Multiple of Numerators i.e. LCM of 895,890 is 159310.
GCF of Denominators means GCF of 96,9988 as per the given fractions.
GCF of 96,9988 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 895,890
5 | 895, 890 |
179, 178 |
∴ So the LCM of the given numbers is 5 x 179 x 178 = 159310
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 895,890 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(895,890) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(895,890) x common factors =5 x 1 = 5
LCM(895,890) = ( 895 × 890 ) / 5
LCM(895,890) = 796550 / 5
LCM(895,890) = 159310
Lets's calculate GCF of 96,9988
2 | 96, 9988 |
2 | 48, 4994 |
24, 2497 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 159310/4
Therefore the LCM of Fractions 895/96,890/9988 is 159310/4
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 9988
List of positive integer factors of 9988 that divides 9988 without a remainder.
1,2,4,11,22,44,227,454,908,2497,4994,9988
Greatest Common Factor
We found the factors 96,9988 . The biggest common factor number is the GCF number.
So the greatest common factor 96,9988 is 4.
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 895/96, 890/9988?
Answer: LCM of Numerators as per given numbers 895/96, 890/9988 is
LCM of Numerators i.e. for 895,890 is 159310
GCF of denominators i.e. for 96,9988 is 4.
Thus, LCM of Fractions is 159310/4.Finally, LCM of Fractions for 895/96, 890/9988 is 159310/4.