Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 52/601, 285/781, 977/928 quickly i.e. 14479140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 52/601, 285/781, 977/928 is 14479140.
LCM(52/601, 285/781, 977/928) = 14479140
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 52/601,285/781,977/928
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 52,285,977
Least Common Multiple of Numerators i.e. LCM of 52,285,977 is 14479140.
GCF of Denominators means GCF of 601,781,928 as per the given fractions.
GCF of 601,781,928 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 52,285,977
Given numbers has no common factors except 1. So, there LCM is their product i.e 14479140
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 52,285,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,285,977) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(52,285,977) x common factors =1 x 1 = 1
LCM(52,285,977) = ( 52 × 285 × 977 ) / 1
LCM(52,285,977) = 14479140 / 1
LCM(52,285,977) = 14479140
Lets's calculate GCF of 601,781,928
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14479140/1
Therefore the LCM of Fractions 52/601,285/781,977/928 is 14479140
Factors of 601
List of positive integer factors of 601 that divides 601 without a remainder.
1,601
Factors of 781
List of positive integer factors of 781 that divides 781 without a remainder.
1,11,71,781
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
Greatest Common Factor
We found the factors 601,781,928 . The biggest common factor number is the GCF number.
So the greatest common factor 601,781,928 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 52/601, 285/781, 977/928?
Answer: LCM of Numerators as per given numbers 52/601, 285/781, 977/928 is
LCM of Numerators i.e. for 52,285,977 is 14479140
GCF of denominators i.e. for 601,781,928 is 1.
Thus, LCM of Fractions is 14479140.Finally, LCM of Fractions for 52/601, 285/781, 977/928 is 14479140.