Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 49/928, 24/152, 653/529 quickly i.e. 767928 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 49/928, 24/152, 653/529 is 767928.
LCM(49/928, 24/152, 653/529) = 767928
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 49/928,24/152,653/529
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 49,24,653
Least Common Multiple of Numerators i.e. LCM of 49,24,653 is 767928.
GCF of Denominators means GCF of 928,152,529 as per the given fractions.
GCF of 928,152,529 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 49,24,653
Given numbers has no common factors except 1. So, there LCM is their product i.e 767928
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 49,24,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,24,653) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(49,24,653) x common factors =1 x 1 = 1
LCM(49,24,653) = ( 49 × 24 × 653 ) / 1
LCM(49,24,653) = 767928 / 1
LCM(49,24,653) = 767928
Lets's calculate GCF of 928,152,529
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 767928/1
Therefore the LCM of Fractions 49/928,24/152,653/529 is 767928
Factors of 928
List of positive integer factors of 928 that divides 928 without a remainder.
1,2,4,8,16,29,32,58,116,232,464,928
Factors of 152
List of positive integer factors of 152 that divides 152 without a remainder.
1,2,4,8,19,38,76,152
Factors of 529
List of positive integer factors of 529 that divides 529 without a remainder.
1,23,529
Greatest Common Factor
We found the factors 928,152,529 . The biggest common factor number is the GCF number.
So the greatest common factor 928,152,529 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 49/928, 24/152, 653/529?
Answer: LCM of Numerators as per given numbers 49/928, 24/152, 653/529 is
LCM of Numerators i.e. for 49,24,653 is 767928
GCF of denominators i.e. for 928,152,529 is 1.
Thus, LCM of Fractions is 767928.Finally, LCM of Fractions for 49/928, 24/152, 653/529 is 767928.