Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 995/16, 695/54, 798/284 quickly i.e. 55183695 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 995/16, 695/54, 798/284 is 55183695.
LCM(995/16, 695/54, 798/284) = 55183695
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 995/16,695/54,798/284
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 995,695,798
Least Common Multiple of Numerators i.e. LCM of 995,695,798 is 110367390.
GCF of Denominators means GCF of 16,54,284 as per the given fractions.
GCF of 16,54,284 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 995,695,798
5 | 995, 695, 798 |
199, 139, 798 |
∴ So the LCM of the given numbers is 5 x 199 x 139 x 798 = 110367390
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 995,695,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(995,695,798) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(995,695,798) x common factors =1 x 5 = 5
LCM(995,695,798) = ( 995 × 695 × 798 ) / 5
LCM(995,695,798) = 551836950 / 5
LCM(995,695,798) = 110367390
Lets's calculate GCF of 16,54,284
2 | 16, 54, 284 |
8, 27, 142 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 110367390/2
Therefore the LCM of Fractions 995/16,695/54,798/284 is 55183695
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 284
List of positive integer factors of 284 that divides 284 without a remainder.
1,2,4,71,142,284
Greatest Common Factor
We found the factors 16,54,284 . The biggest common factor number is the GCF number.
So the greatest common factor 16,54,284 is 2.
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 995/16, 695/54, 798/284?
Answer: LCM of Numerators as per given numbers 995/16, 695/54, 798/284 is
LCM of Numerators i.e. for 995,695,798 is 110367390
GCF of denominators i.e. for 16,54,284 is 2.
Thus, LCM of Fractions is 55183695.Finally, LCM of Fractions for 995/16, 695/54, 798/284 is 55183695.