Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7903/358, 4078/4626 quickly i.e. 16114217 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7903/358, 4078/4626 is 16114217.
LCM(7903/358, 4078/4626) = 16114217
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7903/358,4078/4626
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 7903,4078
Least Common Multiple of Numerators i.e. LCM of 7903,4078 is 32228434.
GCF of Denominators means GCF of 358,4626 as per the given fractions.
GCF of 358,4626 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7903,4078
Given numbers has no common factors except 1. So, there LCM is their product i.e 32228434
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 7903,4078 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7903,4078) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7903,4078) x common factors =1 x 1 = 1
LCM(7903,4078) = ( 7903 × 4078 ) / 1
LCM(7903,4078) = 32228434 / 1
LCM(7903,4078) = 32228434
Lets's calculate GCF of 358,4626
2 | 358, 4626 |
179, 2313 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32228434/2
Therefore the LCM of Fractions 7903/358,4078/4626 is 16114217
Factors of 358
List of positive integer factors of 358 that divides 358 without a remainder.
1,2,179,358
Factors of 4626
List of positive integer factors of 4626 that divides 4626 without a remainder.
1,2,3,6,9,18,257,514,771,1542,2313,4626
Greatest Common Factor
We found the factors 358,4626 . The biggest common factor number is the GCF number.
So the greatest common factor 358,4626 is 2.
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 7903/358, 4078/4626?
Answer: LCM of Numerators as per given numbers 7903/358, 4078/4626 is
LCM of Numerators i.e. for 7903,4078 is 32228434
GCF of denominators i.e. for 358,4626 is 2.
Thus, LCM of Fractions is 16114217.Finally, LCM of Fractions for 7903/358, 4078/4626 is 16114217.