Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 39/248, 245/168, 451/258 quickly i.e. 4309305/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 39/248, 245/168, 451/258 is 4309305/2.
LCM(39/248, 245/168, 451/258) = 4309305/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 39/248,245/168,451/258
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 39,245,451
Least Common Multiple of Numerators i.e. LCM of 39,245,451 is 4309305.
GCF of Denominators means GCF of 248,168,258 as per the given fractions.
GCF of 248,168,258 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 39,245,451
Given numbers has no common factors except 1. So, there LCM is their product i.e 4309305
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 39,245,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,245,451) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(39,245,451) x common factors =1 x 1 = 1
LCM(39,245,451) = ( 39 × 245 × 451 ) / 1
LCM(39,245,451) = 4309305 / 1
LCM(39,245,451) = 4309305
Lets's calculate GCF of 248,168,258
2 | 248, 168, 258 |
124, 84, 129 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4309305/2
Therefore the LCM of Fractions 39/248,245/168,451/258 is 4309305/2
Factors of 248
List of positive integer factors of 248 that divides 248 without a remainder.
1,2,4,8,31,62,124,248
Factors of 168
List of positive integer factors of 168 that divides 168 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Factors of 258
List of positive integer factors of 258 that divides 258 without a remainder.
1,2,3,6,43,86,129,258
Greatest Common Factor
We found the factors 248,168,258 . The biggest common factor number is the GCF number.
So the greatest common factor 248,168,258 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 39/248, 245/168, 451/258?
Answer: LCM of Numerators as per given numbers 39/248, 245/168, 451/258 is
LCM of Numerators i.e. for 39,245,451 is 4309305
GCF of denominators i.e. for 248,168,258 is 2.
Thus, LCM of Fractions is 4309305/2.Finally, LCM of Fractions for 39/248, 245/168, 451/258 is 4309305/2.