Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 32/648, 37/786 quickly i.e. 1184/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 32/648, 37/786 is 1184/6.
LCM(32/648, 37/786) = 1184/6
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 32/648,37/786
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 32,37
Least Common Multiple of Numerators i.e. LCM of 32,37 is 1184.
GCF of Denominators means GCF of 648,786 as per the given fractions.
GCF of 648,786 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 32,37
Given numbers has no common factors except 1. So, there LCM is their product i.e 1184
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 32,37 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,37) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(32,37) x common factors =1 x 1 = 1
LCM(32,37) = ( 32 × 37 ) / 1
LCM(32,37) = 1184 / 1
LCM(32,37) = 1184
Lets's calculate GCF of 648,786
2 | 648, 786 |
3 | 324, 393 |
108, 131 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1184/6
Therefore the LCM of Fractions 32/648,37/786 is 1184/6
Factors of 648
List of positive integer factors of 648 that divides 648 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648
Factors of 786
List of positive integer factors of 786 that divides 786 without a remainder.
1,2,3,6,131,262,393,786
Greatest Common Factor
We found the factors 648,786 . The biggest common factor number is the GCF number.
So the greatest common factor 648,786 is 6.
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 32/648, 37/786?
Answer: LCM of Numerators as per given numbers 32/648, 37/786 is
LCM of Numerators i.e. for 32,37 is 1184
GCF of denominators i.e. for 648,786 is 6.
Thus, LCM of Fractions is 1184/6.Finally, LCM of Fractions for 32/648, 37/786 is 1184/6.