Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 69/507, 4162/6474 quickly i.e. 287178/39 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 69/507, 4162/6474 is 287178/39.
LCM(69/507, 4162/6474) = 287178/39
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 69/507,4162/6474
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 69,4162
Least Common Multiple of Numerators i.e. LCM of 69,4162 is 287178.
GCF of Denominators means GCF of 507,6474 as per the given fractions.
GCF of 507,6474 is 39 as it is the largest common factor for these numbers.
Lets's calculate LCM of 69,4162
Given numbers has no common factors except 1. So, there LCM is their product i.e 287178
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 69,4162 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,4162) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(69,4162) x common factors =1 x 1 = 1
LCM(69,4162) = ( 69 × 4162 ) / 1
LCM(69,4162) = 287178 / 1
LCM(69,4162) = 287178
Lets's calculate GCF of 507,6474
3 | 507, 6474 |
13 | 169, 2158 |
13, 166 |
∴ So the GCF of the given numbers is 3 x 13 = 39
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 287178/39
Therefore the LCM of Fractions 69/507,4162/6474 is 287178/39
Factors of 507
List of positive integer factors of 507 that divides 507 without a remainder.
1,3,13,39,169,507
Factors of 6474
List of positive integer factors of 6474 that divides 6474 without a remainder.
1,2,3,6,13,26,39,78,83,166,249,498,1079,2158,3237,6474
Greatest Common Factor
We found the factors 507,6474 . The biggest common factor number is the GCF number.
So the greatest common factor 507,6474 is 39.
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 69/507, 4162/6474?
Answer: LCM of Numerators as per given numbers 69/507, 4162/6474 is
LCM of Numerators i.e. for 69,4162 is 287178
GCF of denominators i.e. for 507,6474 is 39.
Thus, LCM of Fractions is 287178/39.Finally, LCM of Fractions for 69/507, 4162/6474 is 287178/39.