Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 737/765, 4746/5601 quickly i.e. 1165934 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 737/765, 4746/5601 is 1165934.
LCM(737/765, 4746/5601) = 1165934
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 737/765,4746/5601
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 737,4746
Least Common Multiple of Numerators i.e. LCM of 737,4746 is 3497802.
GCF of Denominators means GCF of 765,5601 as per the given fractions.
GCF of 765,5601 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 737,4746
Given numbers has no common factors except 1. So, there LCM is their product i.e 3497802
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 737,4746 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(737,4746) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(737,4746) x common factors =1 x 1 = 1
LCM(737,4746) = ( 737 × 4746 ) / 1
LCM(737,4746) = 3497802 / 1
LCM(737,4746) = 3497802
Lets's calculate GCF of 765,5601
3 | 765, 5601 |
255, 1867 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3497802/3
Therefore the LCM of Fractions 737/765,4746/5601 is 1165934
Factors of 765
List of positive integer factors of 765 that divides 765 without a remainder.
1,3,5,9,15,17,45,51,85,153,255,765
Factors of 5601
List of positive integer factors of 5601 that divides 5601 without a remainder.
1,3,1867,5601
Greatest Common Factor
We found the factors 765,5601 . The biggest common factor number is the GCF number.
So the greatest common factor 765,5601 is 3.
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 737/765, 4746/5601?
Answer: LCM of Numerators as per given numbers 737/765, 4746/5601 is
LCM of Numerators i.e. for 737,4746 is 3497802
GCF of denominators i.e. for 765,5601 is 3.
Thus, LCM of Fractions is 1165934.Finally, LCM of Fractions for 737/765, 4746/5601 is 1165934.