Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 855/310, 4313/110 quickly i.e. 194085/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 855/310, 4313/110 is 194085/10.
LCM(855/310, 4313/110) = 194085/10
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 855/310,4313/110
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 855,4313
Least Common Multiple of Numerators i.e. LCM of 855,4313 is 194085.
GCF of Denominators means GCF of 310,110 as per the given fractions.
GCF of 310,110 is 10 as it is the largest common factor for these numbers.
Lets's calculate LCM of 855,4313
19 | 855, 4313 |
45, 227 |
∴ So the LCM of the given numbers is 19 x 45 x 227 = 194085
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 855,4313 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(855,4313) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(855,4313) x common factors =19 x 1 = 19
LCM(855,4313) = ( 855 × 4313 ) / 19
LCM(855,4313) = 3687615 / 19
LCM(855,4313) = 194085
Lets's calculate GCF of 310,110
2 | 310, 110 |
5 | 155, 55 |
31, 11 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 194085/10
Therefore the LCM of Fractions 855/310,4313/110 is 194085/10
Factors of 310
List of positive integer factors of 310 that divides 310 without a remainder.
1,2,5,10,31,62,155,310
Factors of 110
List of positive integer factors of 110 that divides 110 without a remainder.
1,2,5,10,11,22,55,110
Greatest Common Factor
We found the factors 310,110 . The biggest common factor number is the GCF number.
So the greatest common factor 310,110 is 10.
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 855/310, 4313/110?
Answer: LCM of Numerators as per given numbers 855/310, 4313/110 is
LCM of Numerators i.e. for 855,4313 is 194085
GCF of denominators i.e. for 310,110 is 10.
Thus, LCM of Fractions is 194085/10.Finally, LCM of Fractions for 855/310, 4313/110 is 194085/10.