Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1/384, 47/597, 42/753 quickly i.e. 658 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1/384, 47/597, 42/753 is 658.
LCM(1/384, 47/597, 42/753) = 658
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1/384,47/597,42/753
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 1,47,42
Least Common Multiple of Numerators i.e. LCM of 1,47,42 is 1974.
GCF of Denominators means GCF of 384,597,753 as per the given fractions.
GCF of 384,597,753 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1,47,42
Given numbers has no common factors except 1. So, there LCM is their product i.e 1974
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 1,47,42 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1,47,42) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1,47,42) x common factors =1 x 1 = 1
LCM(1,47,42) = ( 1 × 47 × 42 ) / 1
LCM(1,47,42) = 1974 / 1
LCM(1,47,42) = 1974
Lets's calculate GCF of 384,597,753
3 | 384, 597, 753 |
128, 199, 251 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1974/3
Therefore the LCM of Fractions 1/384,47/597,42/753 is 658
Factors of 384
List of positive integer factors of 384 that divides 384 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384
Factors of 597
List of positive integer factors of 597 that divides 597 without a remainder.
1,3,199,597
Factors of 753
List of positive integer factors of 753 that divides 753 without a remainder.
1,3,251,753
Greatest Common Factor
We found the factors 384,597,753 . The biggest common factor number is the GCF number.
So the greatest common factor 384,597,753 is 3.
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 1/384, 47/597, 42/753?
Answer: LCM of Numerators as per given numbers 1/384, 47/597, 42/753 is
LCM of Numerators i.e. for 1,47,42 is 1974
GCF of denominators i.e. for 384,597,753 is 3.
Thus, LCM of Fractions is 658.Finally, LCM of Fractions for 1/384, 47/597, 42/753 is 658.