Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 528/64, 7442/801 quickly i.e. 1964688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 528/64, 7442/801 is 1964688.
LCM(528/64, 7442/801) = 1964688
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 528/64,7442/801
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 528,7442
Least Common Multiple of Numerators i.e. LCM of 528,7442 is 1964688.
GCF of Denominators means GCF of 64,801 as per the given fractions.
GCF of 64,801 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 528,7442
2 | 528, 7442 |
264, 3721 |
∴ So the LCM of the given numbers is 2 x 264 x 3721 = 1964688
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 528,7442 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(528,7442) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(528,7442) x common factors =2 x 1 = 2
LCM(528,7442) = ( 528 × 7442 ) / 2
LCM(528,7442) = 3929376 / 2
LCM(528,7442) = 1964688
Lets's calculate GCF of 64,801
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1964688/1
Therefore the LCM of Fractions 528/64,7442/801 is 1964688
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 801
List of positive integer factors of 801 that divides 801 without a remainder.
1,3,9,89,267,801
Greatest Common Factor
We found the factors 64,801 . The biggest common factor number is the GCF number.
So the greatest common factor 64,801 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 528/64, 7442/801?
Answer: LCM of Numerators as per given numbers 528/64, 7442/801 is
LCM of Numerators i.e. for 528,7442 is 1964688
GCF of denominators i.e. for 64,801 is 1.
Thus, LCM of Fractions is 1964688.Finally, LCM of Fractions for 528/64, 7442/801 is 1964688.