Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6227/30, 7174/759 quickly i.e. 44672498/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6227/30, 7174/759 is 44672498/3.
LCM(6227/30, 7174/759) = 44672498/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6227/30,7174/759
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 6227,7174
Least Common Multiple of Numerators i.e. LCM of 6227,7174 is 44672498.
GCF of Denominators means GCF of 30,759 as per the given fractions.
GCF of 30,759 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6227,7174
Given numbers has no common factors except 1. So, there LCM is their product i.e 44672498
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 6227,7174 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6227,7174) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6227,7174) x common factors =1 x 1 = 1
LCM(6227,7174) = ( 6227 × 7174 ) / 1
LCM(6227,7174) = 44672498 / 1
LCM(6227,7174) = 44672498
Lets's calculate GCF of 30,759
3 | 30, 759 |
10, 253 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44672498/3
Therefore the LCM of Fractions 6227/30,7174/759 is 44672498/3
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 759
List of positive integer factors of 759 that divides 759 without a remainder.
1,3,11,23,33,69,253,759
Greatest Common Factor
We found the factors 30,759 . The biggest common factor number is the GCF number.
So the greatest common factor 30,759 is 3.
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 6227/30, 7174/759?
Answer: LCM of Numerators as per given numbers 6227/30, 7174/759 is
LCM of Numerators i.e. for 6227,7174 is 44672498
GCF of denominators i.e. for 30,759 is 3.
Thus, LCM of Fractions is 44672498/3.Finally, LCM of Fractions for 6227/30, 7174/759 is 44672498/3.