Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 37/601, 765/44, 917/608 quickly i.e. 25955685 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 37/601, 765/44, 917/608 is 25955685.
LCM(37/601, 765/44, 917/608) = 25955685
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 37/601,765/44,917/608
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 37,765,917
Least Common Multiple of Numerators i.e. LCM of 37,765,917 is 25955685.
GCF of Denominators means GCF of 601,44,608 as per the given fractions.
GCF of 601,44,608 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 37,765,917
Given numbers has no common factors except 1. So, there LCM is their product i.e 25955685
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 37,765,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,765,917) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,765,917) x common factors =1 x 1 = 1
LCM(37,765,917) = ( 37 × 765 × 917 ) / 1
LCM(37,765,917) = 25955685 / 1
LCM(37,765,917) = 25955685
Lets's calculate GCF of 601,44,608
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25955685/1
Therefore the LCM of Fractions 37/601,765/44,917/608 is 25955685
Factors of 601
List of positive integer factors of 601 that divides 601 without a remainder.
1,601
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 608
List of positive integer factors of 608 that divides 608 without a remainder.
1,2,4,8,16,19,32,38,76,152,304,608
Greatest Common Factor
We found the factors 601,44,608 . The biggest common factor number is the GCF number.
So the greatest common factor 601,44,608 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 37/601, 765/44, 917/608?
Answer: LCM of Numerators as per given numbers 37/601, 765/44, 917/608 is
LCM of Numerators i.e. for 37,765,917 is 25955685
GCF of denominators i.e. for 601,44,608 is 1.
Thus, LCM of Fractions is 25955685.Finally, LCM of Fractions for 37/601, 765/44, 917/608 is 25955685.