Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6502/745, 7044/213 quickly i.e. 22900044 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6502/745, 7044/213 is 22900044.
LCM(6502/745, 7044/213) = 22900044
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6502/745,7044/213
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 6502,7044
Least Common Multiple of Numerators i.e. LCM of 6502,7044 is 22900044.
GCF of Denominators means GCF of 745,213 as per the given fractions.
GCF of 745,213 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6502,7044
2 | 6502, 7044 |
3251, 3522 |
∴ So the LCM of the given numbers is 2 x 3251 x 3522 = 22900044
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 6502,7044 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6502,7044) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(6502,7044) x common factors =2 x 1 = 2
LCM(6502,7044) = ( 6502 × 7044 ) / 2
LCM(6502,7044) = 45800088 / 2
LCM(6502,7044) = 22900044
Lets's calculate GCF of 745,213
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22900044/1
Therefore the LCM of Fractions 6502/745,7044/213 is 22900044
Factors of 745
List of positive integer factors of 745 that divides 745 without a remainder.
1,5,149,745
Factors of 213
List of positive integer factors of 213 that divides 213 without a remainder.
1,3,71,213
Greatest Common Factor
We found the factors 745,213 . The biggest common factor number is the GCF number.
So the greatest common factor 745,213 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 6502/745, 7044/213?
Answer: LCM of Numerators as per given numbers 6502/745, 7044/213 is
LCM of Numerators i.e. for 6502,7044 is 22900044
GCF of denominators i.e. for 745,213 is 1.
Thus, LCM of Fractions is 22900044.Finally, LCM of Fractions for 6502/745, 7044/213 is 22900044.