Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 451/348, 3855/928 quickly i.e. 1738605/116 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 451/348, 3855/928 is 1738605/116.
LCM(451/348, 3855/928) = 1738605/116
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 451/348,3855/928
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 451,3855
Least Common Multiple of Numerators i.e. LCM of 451,3855 is 1738605.
GCF of Denominators means GCF of 348,928 as per the given fractions.
GCF of 348,928 is 116 as it is the largest common factor for these numbers.
Lets's calculate LCM of 451,3855
Given numbers has no common factors except 1. So, there LCM is their product i.e 1738605
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 451,3855 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(451,3855) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(451,3855) x common factors =1 x 1 = 1
LCM(451,3855) = ( 451 × 3855 ) / 1
LCM(451,3855) = 1738605 / 1
LCM(451,3855) = 1738605
Lets's calculate GCF of 348,928
2 | 348, 928 |
2 | 174, 464 |
29 | 87, 232 |
3, 8 |
∴ So the GCF of the given numbers is 2 x 2 x 29 = 116
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1738605/116
Therefore the LCM of Fractions 451/348,3855/928 is 1738605/116
Factors of 348
List of positive integer factors of 348 that divides 348 without a remainder.
1,2,3,4,6,12,29,58,87,116,174,348
Factors of 928
List of positive integer factors of 928 that divides 928 without a remainder.
1,2,4,8,16,29,32,58,116,232,464,928
Greatest Common Factor
We found the factors 348,928 . The biggest common factor number is the GCF number.
So the greatest common factor 348,928 is 116.
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 451/348, 3855/928?
Answer: LCM of Numerators as per given numbers 451/348, 3855/928 is
LCM of Numerators i.e. for 451,3855 is 1738605
GCF of denominators i.e. for 348,928 is 116.
Thus, LCM of Fractions is 1738605/116.Finally, LCM of Fractions for 451/348, 3855/928 is 1738605/116.