Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 329/537, 318/154, 928/506 quickly i.e. 48544608 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 329/537, 318/154, 928/506 is 48544608.
LCM(329/537, 318/154, 928/506) = 48544608
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 329/537,318/154,928/506
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 329,318,928
Least Common Multiple of Numerators i.e. LCM of 329,318,928 is 48544608.
GCF of Denominators means GCF of 537,154,506 as per the given fractions.
GCF of 537,154,506 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 329,318,928
2 | 329, 318, 928 |
329, 159, 464 |
∴ So the LCM of the given numbers is 2 x 329 x 159 x 464 = 48544608
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 329,318,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(329,318,928) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(329,318,928) x common factors =1 x 2 = 2
LCM(329,318,928) = ( 329 × 318 × 928 ) / 2
LCM(329,318,928) = 97089216 / 2
LCM(329,318,928) = 48544608
Lets's calculate GCF of 537,154,506
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48544608/1
Therefore the LCM of Fractions 329/537,318/154,928/506 is 48544608
Factors of 537
List of positive integer factors of 537 that divides 537 without a remainder.
1,3,179,537
Factors of 154
List of positive integer factors of 154 that divides 154 without a remainder.
1,2,7,11,14,22,77,154
Factors of 506
List of positive integer factors of 506 that divides 506 without a remainder.
1,2,11,22,23,46,253,506
Greatest Common Factor
We found the factors 537,154,506 . The biggest common factor number is the GCF number.
So the greatest common factor 537,154,506 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 329/537, 318/154, 928/506?
Answer: LCM of Numerators as per given numbers 329/537, 318/154, 928/506 is
LCM of Numerators i.e. for 329,318,928 is 48544608
GCF of denominators i.e. for 537,154,506 is 1.
Thus, LCM of Fractions is 48544608.Finally, LCM of Fractions for 329/537, 318/154, 928/506 is 48544608.