Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 747/772, 7488/301 quickly i.e. 621504 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 747/772, 7488/301 is 621504.
LCM(747/772, 7488/301) = 621504
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 747/772,7488/301
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 747,7488
Least Common Multiple of Numerators i.e. LCM of 747,7488 is 621504.
GCF of Denominators means GCF of 772,301 as per the given fractions.
GCF of 772,301 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 747,7488
3 | 747, 7488 |
3 | 249, 2496 |
83, 832 |
∴ So the LCM of the given numbers is 3 x 3 x 83 x 832 = 621504
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 747,7488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(747,7488) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(747,7488) x common factors =9 x 1 = 9
LCM(747,7488) = ( 747 × 7488 ) / 9
LCM(747,7488) = 5593536 / 9
LCM(747,7488) = 621504
Lets's calculate GCF of 772,301
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 621504/1
Therefore the LCM of Fractions 747/772,7488/301 is 621504
Factors of 772
List of positive integer factors of 772 that divides 772 without a remainder.
1,2,4,193,386,772
Factors of 301
List of positive integer factors of 301 that divides 301 without a remainder.
1,7,43,301
Greatest Common Factor
We found the factors 772,301 . The biggest common factor number is the GCF number.
So the greatest common factor 772,301 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 747/772, 7488/301?
Answer: LCM of Numerators as per given numbers 747/772, 7488/301 is
LCM of Numerators i.e. for 747,7488 is 621504
GCF of denominators i.e. for 772,301 is 1.
Thus, LCM of Fractions is 621504.Finally, LCM of Fractions for 747/772, 7488/301 is 621504.