Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 652/502, 2033/992 quickly i.e. 662758 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 652/502, 2033/992 is 662758.
LCM(652/502, 2033/992) = 662758
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 652/502,2033/992
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 652,2033
Least Common Multiple of Numerators i.e. LCM of 652,2033 is 1325516.
GCF of Denominators means GCF of 502,992 as per the given fractions.
GCF of 502,992 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 652,2033
Given numbers has no common factors except 1. So, there LCM is their product i.e 1325516
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 652,2033 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(652,2033) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(652,2033) x common factors =1 x 1 = 1
LCM(652,2033) = ( 652 × 2033 ) / 1
LCM(652,2033) = 1325516 / 1
LCM(652,2033) = 1325516
Lets's calculate GCF of 502,992
2 | 502, 992 |
251, 496 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1325516/2
Therefore the LCM of Fractions 652/502,2033/992 is 662758
Factors of 502
List of positive integer factors of 502 that divides 502 without a remainder.
1,2,251,502
Factors of 992
List of positive integer factors of 992 that divides 992 without a remainder.
1,2,4,8,16,31,32,62,124,248,496,992
Greatest Common Factor
We found the factors 502,992 . The biggest common factor number is the GCF number.
So the greatest common factor 502,992 is 2.
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 652/502, 2033/992?
Answer: LCM of Numerators as per given numbers 652/502, 2033/992 is
LCM of Numerators i.e. for 652,2033 is 1325516
GCF of denominators i.e. for 502,992 is 2.
Thus, LCM of Fractions is 662758.Finally, LCM of Fractions for 652/502, 2033/992 is 662758.