Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 39/18, 451/67, 480/758 quickly i.e. 2814240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 39/18, 451/67, 480/758 is 2814240.
LCM(39/18, 451/67, 480/758) = 2814240
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 39/18,451/67,480/758
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 39,451,480
Least Common Multiple of Numerators i.e. LCM of 39,451,480 is 2814240.
GCF of Denominators means GCF of 18,67,758 as per the given fractions.
GCF of 18,67,758 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 39,451,480
3 | 39, 451, 480 |
13, 451, 160 |
∴ So the LCM of the given numbers is 3 x 13 x 451 x 160 = 2814240
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 39,451,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(39,451,480) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(39,451,480) x common factors =1 x 3 = 3
LCM(39,451,480) = ( 39 × 451 × 480 ) / 3
LCM(39,451,480) = 8442720 / 3
LCM(39,451,480) = 2814240
Lets's calculate GCF of 18,67,758
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2814240/1
Therefore the LCM of Fractions 39/18,451/67,480/758 is 2814240
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
Factors of 758
List of positive integer factors of 758 that divides 758 without a remainder.
1,2,379,758
Greatest Common Factor
We found the factors 18,67,758 . The biggest common factor number is the GCF number.
So the greatest common factor 18,67,758 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 39/18, 451/67, 480/758?
Answer: LCM of Numerators as per given numbers 39/18, 451/67, 480/758 is
LCM of Numerators i.e. for 39,451,480 is 2814240
GCF of denominators i.e. for 18,67,758 is 1.
Thus, LCM of Fractions is 2814240.Finally, LCM of Fractions for 39/18, 451/67, 480/758 is 2814240.