Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 644/767, 4175/5540 quickly i.e. 2688700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 644/767, 4175/5540 is 2688700.
LCM(644/767, 4175/5540) = 2688700
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 644/767,4175/5540
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 644,4175
Least Common Multiple of Numerators i.e. LCM of 644,4175 is 2688700.
GCF of Denominators means GCF of 767,5540 as per the given fractions.
GCF of 767,5540 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 644,4175
Given numbers has no common factors except 1. So, there LCM is their product i.e 2688700
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 644,4175 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(644,4175) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(644,4175) x common factors =1 x 1 = 1
LCM(644,4175) = ( 644 × 4175 ) / 1
LCM(644,4175) = 2688700 / 1
LCM(644,4175) = 2688700
Lets's calculate GCF of 767,5540
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2688700/1
Therefore the LCM of Fractions 644/767,4175/5540 is 2688700
Factors of 767
List of positive integer factors of 767 that divides 767 without a remainder.
1,13,59,767
Factors of 5540
List of positive integer factors of 5540 that divides 5540 without a remainder.
1,2,4,5,10,20,277,554,1108,1385,2770,5540
Greatest Common Factor
We found the factors 767,5540 . The biggest common factor number is the GCF number.
So the greatest common factor 767,5540 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 644/767, 4175/5540?
Answer: LCM of Numerators as per given numbers 644/767, 4175/5540 is
LCM of Numerators i.e. for 644,4175 is 2688700
GCF of denominators i.e. for 767,5540 is 1.
Thus, LCM of Fractions is 2688700.Finally, LCM of Fractions for 644/767, 4175/5540 is 2688700.