Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 973/22, 507/6759 quickly i.e. 493311 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 973/22, 507/6759 is 493311.
LCM(973/22, 507/6759) = 493311
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 973/22,507/6759
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 973,507
Least Common Multiple of Numerators i.e. LCM of 973,507 is 493311.
GCF of Denominators means GCF of 22,6759 as per the given fractions.
GCF of 22,6759 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 973,507
Given numbers has no common factors except 1. So, there LCM is their product i.e 493311
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 973,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(973,507) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(973,507) x common factors =1 x 1 = 1
LCM(973,507) = ( 973 × 507 ) / 1
LCM(973,507) = 493311 / 1
LCM(973,507) = 493311
Lets's calculate GCF of 22,6759
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 493311/1
Therefore the LCM of Fractions 973/22,507/6759 is 493311
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 6759
List of positive integer factors of 6759 that divides 6759 without a remainder.
1,3,9,751,2253,6759
Greatest Common Factor
We found the factors 22,6759 . The biggest common factor number is the GCF number.
So the greatest common factor 22,6759 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 973/22, 507/6759?
Answer: LCM of Numerators as per given numbers 973/22, 507/6759 is
LCM of Numerators i.e. for 973,507 is 493311
GCF of denominators i.e. for 22,6759 is 1.
Thus, LCM of Fractions is 493311.Finally, LCM of Fractions for 973/22, 507/6759 is 493311.