Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 66/394, 48/694, 151/506 quickly i.e. 39864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 66/394, 48/694, 151/506 is 39864.
LCM(66/394, 48/694, 151/506) = 39864
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 66/394,48/694,151/506
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 66,48,151
Least Common Multiple of Numerators i.e. LCM of 66,48,151 is 79728.
GCF of Denominators means GCF of 394,694,506 as per the given fractions.
GCF of 394,694,506 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 66,48,151
2 | 66, 48, 151 |
3 | 33, 24, 151 |
11, 8, 151 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 8 x 151 = 79728
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 66,48,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,48,151) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(66,48,151) x common factors =1 x 6 = 6
LCM(66,48,151) = ( 66 × 48 × 151 ) / 6
LCM(66,48,151) = 478368 / 6
LCM(66,48,151) = 79728
Lets's calculate GCF of 394,694,506
2 | 394, 694, 506 |
197, 347, 253 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79728/2
Therefore the LCM of Fractions 66/394,48/694,151/506 is 39864
Factors of 394
List of positive integer factors of 394 that divides 394 without a remainder.
1,2,197,394
Factors of 694
List of positive integer factors of 694 that divides 694 without a remainder.
1,2,347,694
Factors of 506
List of positive integer factors of 506 that divides 506 without a remainder.
1,2,11,22,23,46,253,506
Greatest Common Factor
We found the factors 394,694,506 . The biggest common factor number is the GCF number.
So the greatest common factor 394,694,506 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 66/394, 48/694, 151/506?
Answer: LCM of Numerators as per given numbers 66/394, 48/694, 151/506 is
LCM of Numerators i.e. for 66,48,151 is 79728
GCF of denominators i.e. for 394,694,506 is 2.
Thus, LCM of Fractions is 39864.Finally, LCM of Fractions for 66/394, 48/694, 151/506 is 39864.