Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 59/953, 331/308, 667/748 quickly i.e. 13025843 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 59/953, 331/308, 667/748 is 13025843.
LCM(59/953, 331/308, 667/748) = 13025843
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 59/953,331/308,667/748
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 59,331,667
Least Common Multiple of Numerators i.e. LCM of 59,331,667 is 13025843.
GCF of Denominators means GCF of 953,308,748 as per the given fractions.
GCF of 953,308,748 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 59,331,667
Given numbers has no common factors except 1. So, there LCM is their product i.e 13025843
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 59,331,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,331,667) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,331,667) x common factors =1 x 1 = 1
LCM(59,331,667) = ( 59 × 331 × 667 ) / 1
LCM(59,331,667) = 13025843 / 1
LCM(59,331,667) = 13025843
Lets's calculate GCF of 953,308,748
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13025843/1
Therefore the LCM of Fractions 59/953,331/308,667/748 is 13025843
Factors of 953
List of positive integer factors of 953 that divides 953 without a remainder.
1,953
Factors of 308
List of positive integer factors of 308 that divides 308 without a remainder.
1,2,4,7,11,14,22,28,44,77,154,308
Factors of 748
List of positive integer factors of 748 that divides 748 without a remainder.
1,2,4,11,17,22,34,44,68,187,374,748
Greatest Common Factor
We found the factors 953,308,748 . The biggest common factor number is the GCF number.
So the greatest common factor 953,308,748 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 59/953, 331/308, 667/748?
Answer: LCM of Numerators as per given numbers 59/953, 331/308, 667/748 is
LCM of Numerators i.e. for 59,331,667 is 13025843
GCF of denominators i.e. for 953,308,748 is 1.
Thus, LCM of Fractions is 13025843.Finally, LCM of Fractions for 59/953, 331/308, 667/748 is 13025843.