Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 158/929, 409/149, 752/884 quickly i.e. 24297872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 158/929, 409/149, 752/884 is 24297872.
LCM(158/929, 409/149, 752/884) = 24297872
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 158/929,409/149,752/884
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 158,409,752
Least Common Multiple of Numerators i.e. LCM of 158,409,752 is 24297872.
GCF of Denominators means GCF of 929,149,884 as per the given fractions.
GCF of 929,149,884 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 158,409,752
2 | 158, 409, 752 |
79, 409, 376 |
∴ So the LCM of the given numbers is 2 x 79 x 409 x 376 = 24297872
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 158,409,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(158,409,752) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(158,409,752) x common factors =1 x 2 = 2
LCM(158,409,752) = ( 158 × 409 × 752 ) / 2
LCM(158,409,752) = 48595744 / 2
LCM(158,409,752) = 24297872
Lets's calculate GCF of 929,149,884
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24297872/1
Therefore the LCM of Fractions 158/929,409/149,752/884 is 24297872
Factors of 929
List of positive integer factors of 929 that divides 929 without a remainder.
1,929
Factors of 149
List of positive integer factors of 149 that divides 149 without a remainder.
1,149
Factors of 884
List of positive integer factors of 884 that divides 884 without a remainder.
1,2,4,13,17,26,34,52,68,221,442,884
Greatest Common Factor
We found the factors 929,149,884 . The biggest common factor number is the GCF number.
So the greatest common factor 929,149,884 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 158/929, 409/149, 752/884?
Answer: LCM of Numerators as per given numbers 158/929, 409/149, 752/884 is
LCM of Numerators i.e. for 158,409,752 is 24297872
GCF of denominators i.e. for 929,149,884 is 1.
Thus, LCM of Fractions is 24297872.Finally, LCM of Fractions for 158/929, 409/149, 752/884 is 24297872.