Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4857/305, 1219/8140 quickly i.e. 5920683/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4857/305, 1219/8140 is 5920683/5.
LCM(4857/305, 1219/8140) = 5920683/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4857/305,1219/8140
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 4857,1219
Least Common Multiple of Numerators i.e. LCM of 4857,1219 is 5920683.
GCF of Denominators means GCF of 305,8140 as per the given fractions.
GCF of 305,8140 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4857,1219
Given numbers has no common factors except 1. So, there LCM is their product i.e 5920683
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 4857,1219 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4857,1219) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4857,1219) x common factors =1 x 1 = 1
LCM(4857,1219) = ( 4857 × 1219 ) / 1
LCM(4857,1219) = 5920683 / 1
LCM(4857,1219) = 5920683
Lets's calculate GCF of 305,8140
5 | 305, 8140 |
61, 1628 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5920683/5
Therefore the LCM of Fractions 4857/305,1219/8140 is 5920683/5
Factors of 305
List of positive integer factors of 305 that divides 305 without a remainder.
1,5,61,305
Factors of 8140
List of positive integer factors of 8140 that divides 8140 without a remainder.
1,2,4,5,10,11,20,22,37,44,55,74,110,148,185,220,370,407,740,814,1628,2035,4070,8140
Greatest Common Factor
We found the factors 305,8140 . The biggest common factor number is the GCF number.
So the greatest common factor 305,8140 is 5.
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 4857/305, 1219/8140?
Answer: LCM of Numerators as per given numbers 4857/305, 1219/8140 is
LCM of Numerators i.e. for 4857,1219 is 5920683
GCF of denominators i.e. for 305,8140 is 5.
Thus, LCM of Fractions is 5920683/5.Finally, LCM of Fractions for 4857/305, 1219/8140 is 5920683/5.