Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6856/272, 7895/886 quickly i.e. 27064060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6856/272, 7895/886 is 27064060.
LCM(6856/272, 7895/886) = 27064060
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6856/272,7895/886
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 6856,7895
Least Common Multiple of Numerators i.e. LCM of 6856,7895 is 54128120.
GCF of Denominators means GCF of 272,886 as per the given fractions.
GCF of 272,886 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6856,7895
Given numbers has no common factors except 1. So, there LCM is their product i.e 54128120
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 6856,7895 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6856,7895) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6856,7895) x common factors =1 x 1 = 1
LCM(6856,7895) = ( 6856 × 7895 ) / 1
LCM(6856,7895) = 54128120 / 1
LCM(6856,7895) = 54128120
Lets's calculate GCF of 272,886
2 | 272, 886 |
136, 443 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54128120/2
Therefore the LCM of Fractions 6856/272,7895/886 is 27064060
Factors of 272
List of positive integer factors of 272 that divides 272 without a remainder.
1,2,4,8,16,17,34,68,136,272
Factors of 886
List of positive integer factors of 886 that divides 886 without a remainder.
1,2,443,886
Greatest Common Factor
We found the factors 272,886 . The biggest common factor number is the GCF number.
So the greatest common factor 272,886 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 6856/272, 7895/886?
Answer: LCM of Numerators as per given numbers 6856/272, 7895/886 is
LCM of Numerators i.e. for 6856,7895 is 54128120
GCF of denominators i.e. for 272,886 is 2.
Thus, LCM of Fractions is 27064060.Finally, LCM of Fractions for 6856/272, 7895/886 is 27064060.