Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 601/957, 149/635, 124/553 quickly i.e. 11104076 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 601/957, 149/635, 124/553 is 11104076.
LCM(601/957, 149/635, 124/553) = 11104076
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 601/957,149/635,124/553
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 601,149,124
Least Common Multiple of Numerators i.e. LCM of 601,149,124 is 11104076.
GCF of Denominators means GCF of 957,635,553 as per the given fractions.
GCF of 957,635,553 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 601,149,124
Given numbers has no common factors except 1. So, there LCM is their product i.e 11104076
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 601,149,124 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(601,149,124) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(601,149,124) x common factors =1 x 1 = 1
LCM(601,149,124) = ( 601 × 149 × 124 ) / 1
LCM(601,149,124) = 11104076 / 1
LCM(601,149,124) = 11104076
Lets's calculate GCF of 957,635,553
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11104076/1
Therefore the LCM of Fractions 601/957,149/635,124/553 is 11104076
Factors of 957
List of positive integer factors of 957 that divides 957 without a remainder.
1,3,11,29,33,87,319,957
Factors of 635
List of positive integer factors of 635 that divides 635 without a remainder.
1,5,127,635
Factors of 553
List of positive integer factors of 553 that divides 553 without a remainder.
1,7,79,553
Greatest Common Factor
We found the factors 957,635,553 . The biggest common factor number is the GCF number.
So the greatest common factor 957,635,553 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 601/957, 149/635, 124/553?
Answer: LCM of Numerators as per given numbers 601/957, 149/635, 124/553 is
LCM of Numerators i.e. for 601,149,124 is 11104076
GCF of denominators i.e. for 957,635,553 is 1.
Thus, LCM of Fractions is 11104076.Finally, LCM of Fractions for 601/957, 149/635, 124/553 is 11104076.