Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2403/492, 5930/172 quickly i.e. 14249790/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2403/492, 5930/172 is 14249790/4.
LCM(2403/492, 5930/172) = 14249790/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2403/492,5930/172
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 2403,5930
Least Common Multiple of Numerators i.e. LCM of 2403,5930 is 14249790.
GCF of Denominators means GCF of 492,172 as per the given fractions.
GCF of 492,172 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2403,5930
Given numbers has no common factors except 1. So, there LCM is their product i.e 14249790
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 2403,5930 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2403,5930) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2403,5930) x common factors =1 x 1 = 1
LCM(2403,5930) = ( 2403 × 5930 ) / 1
LCM(2403,5930) = 14249790 / 1
LCM(2403,5930) = 14249790
Lets's calculate GCF of 492,172
2 | 492, 172 |
2 | 246, 86 |
123, 43 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14249790/4
Therefore the LCM of Fractions 2403/492,5930/172 is 14249790/4
Factors of 492
List of positive integer factors of 492 that divides 492 without a remainder.
1,2,3,4,6,12,41,82,123,164,246,492
Factors of 172
List of positive integer factors of 172 that divides 172 without a remainder.
1,2,4,43,86,172
Greatest Common Factor
We found the factors 492,172 . The biggest common factor number is the GCF number.
So the greatest common factor 492,172 is 4.
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 2403/492, 5930/172?
Answer: LCM of Numerators as per given numbers 2403/492, 5930/172 is
LCM of Numerators i.e. for 2403,5930 is 14249790
GCF of denominators i.e. for 492,172 is 4.
Thus, LCM of Fractions is 14249790/4.Finally, LCM of Fractions for 2403/492, 5930/172 is 14249790/4.