Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 736/930, 1958/2551 quickly i.e. 720544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 736/930, 1958/2551 is 720544.
LCM(736/930, 1958/2551) = 720544
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 736/930,1958/2551
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 736,1958
Least Common Multiple of Numerators i.e. LCM of 736,1958 is 720544.
GCF of Denominators means GCF of 930,2551 as per the given fractions.
GCF of 930,2551 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 736,1958
2 | 736, 1958 |
368, 979 |
∴ So the LCM of the given numbers is 2 x 368 x 979 = 720544
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 736,1958 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(736,1958) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(736,1958) x common factors =2 x 1 = 2
LCM(736,1958) = ( 736 × 1958 ) / 2
LCM(736,1958) = 1441088 / 2
LCM(736,1958) = 720544
Lets's calculate GCF of 930,2551
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 720544/1
Therefore the LCM of Fractions 736/930,1958/2551 is 720544
Factors of 930
List of positive integer factors of 930 that divides 930 without a remainder.
1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930
Factors of 2551
List of positive integer factors of 2551 that divides 2551 without a remainder.
1,2551
Greatest Common Factor
We found the factors 930,2551 . The biggest common factor number is the GCF number.
So the greatest common factor 930,2551 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 736/930, 1958/2551?
Answer: LCM of Numerators as per given numbers 736/930, 1958/2551 is
LCM of Numerators i.e. for 736,1958 is 720544
GCF of denominators i.e. for 930,2551 is 1.
Thus, LCM of Fractions is 720544.Finally, LCM of Fractions for 736/930, 1958/2551 is 720544.