Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 24/179, 48/229, 837/407 quickly i.e. 13392 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 24/179, 48/229, 837/407 is 13392.
LCM(24/179, 48/229, 837/407) = 13392
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 24/179,48/229,837/407
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 24,48,837
Least Common Multiple of Numerators i.e. LCM of 24,48,837 is 13392.
GCF of Denominators means GCF of 179,229,407 as per the given fractions.
GCF of 179,229,407 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 24,48,837
2 | 24, 48, 837 |
2 | 12, 24, 837 |
2 | 6, 12, 837 |
3 | 3, 6, 837 |
1, 2, 279 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 2 x 279 = 13392
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 24,48,837 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,48,837) = 3
common factors(in case of two or more numbers have common factors) = 24
GCF(24,48,837) x common factors =3 x 24 = 72
LCM(24,48,837) = ( 24 × 48 × 837 ) / 72
LCM(24,48,837) = 964224 / 72
LCM(24,48,837) = 13392
Lets's calculate GCF of 179,229,407
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13392/1
Therefore the LCM of Fractions 24/179,48/229,837/407 is 13392
Factors of 179
List of positive integer factors of 179 that divides 179 without a remainder.
1,179
Factors of 229
List of positive integer factors of 229 that divides 229 without a remainder.
1,229
Factors of 407
List of positive integer factors of 407 that divides 407 without a remainder.
1,11,37,407
Greatest Common Factor
We found the factors 179,229,407 . The biggest common factor number is the GCF number.
So the greatest common factor 179,229,407 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 24/179, 48/229, 837/407?
Answer: LCM of Numerators as per given numbers 24/179, 48/229, 837/407 is
LCM of Numerators i.e. for 24,48,837 is 13392
GCF of denominators i.e. for 179,229,407 is 1.
Thus, LCM of Fractions is 13392.Finally, LCM of Fractions for 24/179, 48/229, 837/407 is 13392.