Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 37/750, 14/663, 314/534 quickly i.e. 81326/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 37/750, 14/663, 314/534 is 81326/3.
LCM(37/750, 14/663, 314/534) = 81326/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 37/750,14/663,314/534
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 37,14,314
Least Common Multiple of Numerators i.e. LCM of 37,14,314 is 81326.
GCF of Denominators means GCF of 750,663,534 as per the given fractions.
GCF of 750,663,534 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 37,14,314
2 | 37, 14, 314 |
37, 7, 157 |
∴ So the LCM of the given numbers is 2 x 37 x 7 x 157 = 81326
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 37,14,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,14,314) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(37,14,314) x common factors =1 x 2 = 2
LCM(37,14,314) = ( 37 × 14 × 314 ) / 2
LCM(37,14,314) = 162652 / 2
LCM(37,14,314) = 81326
Lets's calculate GCF of 750,663,534
3 | 750, 663, 534 |
250, 221, 178 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81326/3
Therefore the LCM of Fractions 37/750,14/663,314/534 is 81326/3
Factors of 750
List of positive integer factors of 750 that divides 750 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750
Factors of 663
List of positive integer factors of 663 that divides 663 without a remainder.
1,3,13,17,39,51,221,663
Factors of 534
List of positive integer factors of 534 that divides 534 without a remainder.
1,2,3,6,89,178,267,534
Greatest Common Factor
We found the factors 750,663,534 . The biggest common factor number is the GCF number.
So the greatest common factor 750,663,534 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 37/750, 14/663, 314/534?
Answer: LCM of Numerators as per given numbers 37/750, 14/663, 314/534 is
LCM of Numerators i.e. for 37,14,314 is 81326
GCF of denominators i.e. for 750,663,534 is 3.
Thus, LCM of Fractions is 81326/3.Finally, LCM of Fractions for 37/750, 14/663, 314/534 is 81326/3.