Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 383/423, 3492/949 quickly i.e. 1337436 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 383/423, 3492/949 is 1337436.
LCM(383/423, 3492/949) = 1337436
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 383/423,3492/949
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 383,3492
Least Common Multiple of Numerators i.e. LCM of 383,3492 is 1337436.
GCF of Denominators means GCF of 423,949 as per the given fractions.
GCF of 423,949 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 383,3492
Given numbers has no common factors except 1. So, there LCM is their product i.e 1337436
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 383,3492 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(383,3492) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(383,3492) x common factors =1 x 1 = 1
LCM(383,3492) = ( 383 × 3492 ) / 1
LCM(383,3492) = 1337436 / 1
LCM(383,3492) = 1337436
Lets's calculate GCF of 423,949
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1337436/1
Therefore the LCM of Fractions 383/423,3492/949 is 1337436
Factors of 423
List of positive integer factors of 423 that divides 423 without a remainder.
1,3,9,47,141,423
Factors of 949
List of positive integer factors of 949 that divides 949 without a remainder.
1,13,73,949
Greatest Common Factor
We found the factors 423,949 . The biggest common factor number is the GCF number.
So the greatest common factor 423,949 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 383/423, 3492/949?
Answer: LCM of Numerators as per given numbers 383/423, 3492/949 is
LCM of Numerators i.e. for 383,3492 is 1337436
GCF of denominators i.e. for 423,949 is 1.
Thus, LCM of Fractions is 1337436.Finally, LCM of Fractions for 383/423, 3492/949 is 1337436.