Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 407/938, 7542/387 quickly i.e. 3069594 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 407/938, 7542/387 is 3069594.
LCM(407/938, 7542/387) = 3069594
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 407/938,7542/387
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 407,7542
Least Common Multiple of Numerators i.e. LCM of 407,7542 is 3069594.
GCF of Denominators means GCF of 938,387 as per the given fractions.
GCF of 938,387 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 407,7542
Given numbers has no common factors except 1. So, there LCM is their product i.e 3069594
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 407,7542 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(407,7542) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(407,7542) x common factors =1 x 1 = 1
LCM(407,7542) = ( 407 × 7542 ) / 1
LCM(407,7542) = 3069594 / 1
LCM(407,7542) = 3069594
Lets's calculate GCF of 938,387
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3069594/1
Therefore the LCM of Fractions 407/938,7542/387 is 3069594
Factors of 938
List of positive integer factors of 938 that divides 938 without a remainder.
1,2,7,14,67,134,469,938
Factors of 387
List of positive integer factors of 387 that divides 387 without a remainder.
1,3,9,43,129,387
Greatest Common Factor
We found the factors 938,387 . The biggest common factor number is the GCF number.
So the greatest common factor 938,387 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 407/938, 7542/387?
Answer: LCM of Numerators as per given numbers 407/938, 7542/387 is
LCM of Numerators i.e. for 407,7542 is 3069594
GCF of denominators i.e. for 938,387 is 1.
Thus, LCM of Fractions is 3069594.Finally, LCM of Fractions for 407/938, 7542/387 is 3069594.