Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9336/423, 6632/2755 quickly i.e. 7739544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9336/423, 6632/2755 is 7739544.
LCM(9336/423, 6632/2755) = 7739544
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9336/423,6632/2755
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 9336,6632
Least Common Multiple of Numerators i.e. LCM of 9336,6632 is 7739544.
GCF of Denominators means GCF of 423,2755 as per the given fractions.
GCF of 423,2755 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9336,6632
2 | 9336, 6632 |
2 | 4668, 3316 |
2 | 2334, 1658 |
1167, 829 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 1167 x 829 = 7739544
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 9336,6632 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9336,6632) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(9336,6632) x common factors =8 x 1 = 8
LCM(9336,6632) = ( 9336 × 6632 ) / 8
LCM(9336,6632) = 61916352 / 8
LCM(9336,6632) = 7739544
Lets's calculate GCF of 423,2755
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7739544/1
Therefore the LCM of Fractions 9336/423,6632/2755 is 7739544
Factors of 423
List of positive integer factors of 423 that divides 423 without a remainder.
1,3,9,47,141,423
Factors of 2755
List of positive integer factors of 2755 that divides 2755 without a remainder.
1,5,19,29,95,145,551,2755
Greatest Common Factor
We found the factors 423,2755 . The biggest common factor number is the GCF number.
So the greatest common factor 423,2755 is 1.
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 9336/423, 6632/2755?
Answer: LCM of Numerators as per given numbers 9336/423, 6632/2755 is
LCM of Numerators i.e. for 9336,6632 is 7739544
GCF of denominators i.e. for 423,2755 is 1.
Thus, LCM of Fractions is 7739544.Finally, LCM of Fractions for 9336/423, 6632/2755 is 7739544.