Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 506/906, 7842/8232 quickly i.e. 330671 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 506/906, 7842/8232 is 330671.
LCM(506/906, 7842/8232) = 330671
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 506/906,7842/8232
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 506,7842
Least Common Multiple of Numerators i.e. LCM of 506,7842 is 1984026.
GCF of Denominators means GCF of 906,8232 as per the given fractions.
GCF of 906,8232 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 506,7842
2 | 506, 7842 |
253, 3921 |
∴ So the LCM of the given numbers is 2 x 253 x 3921 = 1984026
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 506,7842 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(506,7842) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(506,7842) x common factors =2 x 1 = 2
LCM(506,7842) = ( 506 × 7842 ) / 2
LCM(506,7842) = 3968052 / 2
LCM(506,7842) = 1984026
Lets's calculate GCF of 906,8232
2 | 906, 8232 |
3 | 453, 4116 |
151, 1372 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1984026/6
Therefore the LCM of Fractions 506/906,7842/8232 is 330671
Factors of 906
List of positive integer factors of 906 that divides 906 without a remainder.
1,2,3,6,151,302,453,906
Factors of 8232
List of positive integer factors of 8232 that divides 8232 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,49,56,84,98,147,168,196,294,343,392,588,686,1029,1176,1372,2058,2744,4116,8232
Greatest Common Factor
We found the factors 906,8232 . The biggest common factor number is the GCF number.
So the greatest common factor 906,8232 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 506/906, 7842/8232?
Answer: LCM of Numerators as per given numbers 506/906, 7842/8232 is
LCM of Numerators i.e. for 506,7842 is 1984026
GCF of denominators i.e. for 906,8232 is 6.
Thus, LCM of Fractions is 330671.Finally, LCM of Fractions for 506/906, 7842/8232 is 330671.