Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 851/48, 6095/391 quickly i.e. 225515 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 851/48, 6095/391 is 225515.
LCM(851/48, 6095/391) = 225515
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 851/48,6095/391
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 851,6095
Least Common Multiple of Numerators i.e. LCM of 851,6095 is 225515.
GCF of Denominators means GCF of 48,391 as per the given fractions.
GCF of 48,391 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 851,6095
23 | 851, 6095 |
37, 265 |
∴ So the LCM of the given numbers is 23 x 37 x 265 = 225515
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 851,6095 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(851,6095) = 23
common factors(in case of two or more numbers have common factors) = 1
GCF(851,6095) x common factors =23 x 1 = 23
LCM(851,6095) = ( 851 × 6095 ) / 23
LCM(851,6095) = 5186845 / 23
LCM(851,6095) = 225515
Lets's calculate GCF of 48,391
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 225515/1
Therefore the LCM of Fractions 851/48,6095/391 is 225515
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 391
List of positive integer factors of 391 that divides 391 without a remainder.
1,17,23,391
Greatest Common Factor
We found the factors 48,391 . The biggest common factor number is the GCF number.
So the greatest common factor 48,391 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 851/48, 6095/391?
Answer: LCM of Numerators as per given numbers 851/48, 6095/391 is
LCM of Numerators i.e. for 851,6095 is 225515
GCF of denominators i.e. for 48,391 is 1.
Thus, LCM of Fractions is 225515.Finally, LCM of Fractions for 851/48, 6095/391 is 225515.