Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1051/501, 6773/9416 quickly i.e. 7118423 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1051/501, 6773/9416 is 7118423.
LCM(1051/501, 6773/9416) = 7118423
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1051/501,6773/9416
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 1051,6773
Least Common Multiple of Numerators i.e. LCM of 1051,6773 is 7118423.
GCF of Denominators means GCF of 501,9416 as per the given fractions.
GCF of 501,9416 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1051,6773
Given numbers has no common factors except 1. So, there LCM is their product i.e 7118423
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 1051,6773 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1051,6773) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1051,6773) x common factors =1 x 1 = 1
LCM(1051,6773) = ( 1051 × 6773 ) / 1
LCM(1051,6773) = 7118423 / 1
LCM(1051,6773) = 7118423
Lets's calculate GCF of 501,9416
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7118423/1
Therefore the LCM of Fractions 1051/501,6773/9416 is 7118423
Factors of 501
List of positive integer factors of 501 that divides 501 without a remainder.
1,3,167,501
Factors of 9416
List of positive integer factors of 9416 that divides 9416 without a remainder.
1,2,4,8,11,22,44,88,107,214,428,856,1177,2354,4708,9416
Greatest Common Factor
We found the factors 501,9416 . The biggest common factor number is the GCF number.
So the greatest common factor 501,9416 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 1051/501, 6773/9416?
Answer: LCM of Numerators as per given numbers 1051/501, 6773/9416 is
LCM of Numerators i.e. for 1051,6773 is 7118423
GCF of denominators i.e. for 501,9416 is 1.
Thus, LCM of Fractions is 7118423.Finally, LCM of Fractions for 1051/501, 6773/9416 is 7118423.