Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7/387, 77/456, 57/415 quickly i.e. 4389 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7/387, 77/456, 57/415 is 4389.
LCM(7/387, 77/456, 57/415) = 4389
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7/387,77/456,57/415
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 7,77,57
Least Common Multiple of Numerators i.e. LCM of 7,77,57 is 4389.
GCF of Denominators means GCF of 387,456,415 as per the given fractions.
GCF of 387,456,415 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7,77,57
7 | 7, 77, 57 |
1, 11, 57 |
∴ So the LCM of the given numbers is 7 x 1 x 11 x 57 = 4389
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 7,77,57 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7,77,57) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(7,77,57) x common factors =1 x 7 = 7
LCM(7,77,57) = ( 7 × 77 × 57 ) / 7
LCM(7,77,57) = 30723 / 7
LCM(7,77,57) = 4389
Lets's calculate GCF of 387,456,415
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4389/1
Therefore the LCM of Fractions 7/387,77/456,57/415 is 4389
Factors of 387
List of positive integer factors of 387 that divides 387 without a remainder.
1,3,9,43,129,387
Factors of 456
List of positive integer factors of 456 that divides 456 without a remainder.
1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456
Factors of 415
List of positive integer factors of 415 that divides 415 without a remainder.
1,5,83,415
Greatest Common Factor
We found the factors 387,456,415 . The biggest common factor number is the GCF number.
So the greatest common factor 387,456,415 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 7/387, 77/456, 57/415?
Answer: LCM of Numerators as per given numbers 7/387, 77/456, 57/415 is
LCM of Numerators i.e. for 7,77,57 is 4389
GCF of denominators i.e. for 387,456,415 is 1.
Thus, LCM of Fractions is 4389.Finally, LCM of Fractions for 7/387, 77/456, 57/415 is 4389.