Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5056/740, 9399/1951 quickly i.e. 47521344 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5056/740, 9399/1951 is 47521344.
LCM(5056/740, 9399/1951) = 47521344
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5056/740,9399/1951
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 5056,9399
Least Common Multiple of Numerators i.e. LCM of 5056,9399 is 47521344.
GCF of Denominators means GCF of 740,1951 as per the given fractions.
GCF of 740,1951 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5056,9399
Given numbers has no common factors except 1. So, there LCM is their product i.e 47521344
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 5056,9399 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5056,9399) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5056,9399) x common factors =1 x 1 = 1
LCM(5056,9399) = ( 5056 × 9399 ) / 1
LCM(5056,9399) = 47521344 / 1
LCM(5056,9399) = 47521344
Lets's calculate GCF of 740,1951
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47521344/1
Therefore the LCM of Fractions 5056/740,9399/1951 is 47521344
Factors of 740
List of positive integer factors of 740 that divides 740 without a remainder.
1,2,4,5,10,20,37,74,148,185,370,740
Factors of 1951
List of positive integer factors of 1951 that divides 1951 without a remainder.
1,1951
Greatest Common Factor
We found the factors 740,1951 . The biggest common factor number is the GCF number.
So the greatest common factor 740,1951 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 5056/740, 9399/1951?
Answer: LCM of Numerators as per given numbers 5056/740, 9399/1951 is
LCM of Numerators i.e. for 5056,9399 is 47521344
GCF of denominators i.e. for 740,1951 is 1.
Thus, LCM of Fractions is 47521344.Finally, LCM of Fractions for 5056/740, 9399/1951 is 47521344.