Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 42/620, 79/415, 437/338 quickly i.e. 1449966 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 42/620, 79/415, 437/338 is 1449966.
LCM(42/620, 79/415, 437/338) = 1449966
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 42/620,79/415,437/338
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 42,79,437
Least Common Multiple of Numerators i.e. LCM of 42,79,437 is 1449966.
GCF of Denominators means GCF of 620,415,338 as per the given fractions.
GCF of 620,415,338 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 42,79,437
Given numbers has no common factors except 1. So, there LCM is their product i.e 1449966
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 42,79,437 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,79,437) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(42,79,437) x common factors =1 x 1 = 1
LCM(42,79,437) = ( 42 × 79 × 437 ) / 1
LCM(42,79,437) = 1449966 / 1
LCM(42,79,437) = 1449966
Lets's calculate GCF of 620,415,338
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1449966/1
Therefore the LCM of Fractions 42/620,79/415,437/338 is 1449966
Factors of 620
List of positive integer factors of 620 that divides 620 without a remainder.
1,2,4,5,10,20,31,62,124,155,310,620
Factors of 415
List of positive integer factors of 415 that divides 415 without a remainder.
1,5,83,415
Factors of 338
List of positive integer factors of 338 that divides 338 without a remainder.
1,2,13,26,169,338
Greatest Common Factor
We found the factors 620,415,338 . The biggest common factor number is the GCF number.
So the greatest common factor 620,415,338 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 42/620, 79/415, 437/338?
Answer: LCM of Numerators as per given numbers 42/620, 79/415, 437/338 is
LCM of Numerators i.e. for 42,79,437 is 1449966
GCF of denominators i.e. for 620,415,338 is 1.
Thus, LCM of Fractions is 1449966.Finally, LCM of Fractions for 42/620, 79/415, 437/338 is 1449966.