Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 732/65, 552/4490 quickly i.e. 33672/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 732/65, 552/4490 is 33672/5.
LCM(732/65, 552/4490) = 33672/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 732/65,552/4490
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 732,552
Least Common Multiple of Numerators i.e. LCM of 732,552 is 33672.
GCF of Denominators means GCF of 65,4490 as per the given fractions.
GCF of 65,4490 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 732,552
2 | 732, 552 |
2 | 366, 276 |
3 | 183, 138 |
61, 46 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 61 x 46 = 33672
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 732,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(732,552) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(732,552) x common factors =12 x 1 = 12
LCM(732,552) = ( 732 × 552 ) / 12
LCM(732,552) = 404064 / 12
LCM(732,552) = 33672
Lets's calculate GCF of 65,4490
5 | 65, 4490 |
13, 898 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33672/5
Therefore the LCM of Fractions 732/65,552/4490 is 33672/5
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 4490
List of positive integer factors of 4490 that divides 4490 without a remainder.
1,2,5,10,449,898,2245,4490
Greatest Common Factor
We found the factors 65,4490 . The biggest common factor number is the GCF number.
So the greatest common factor 65,4490 is 5.
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 732/65, 552/4490?
Answer: LCM of Numerators as per given numbers 732/65, 552/4490 is
LCM of Numerators i.e. for 732,552 is 33672
GCF of denominators i.e. for 65,4490 is 5.
Thus, LCM of Fractions is 33672/5.Finally, LCM of Fractions for 732/65, 552/4490 is 33672/5.