Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8/535, 83/279, 97/722 quickly i.e. 64408 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8/535, 83/279, 97/722 is 64408.
LCM(8/535, 83/279, 97/722) = 64408
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8/535,83/279,97/722
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 8,83,97
Least Common Multiple of Numerators i.e. LCM of 8,83,97 is 64408.
GCF of Denominators means GCF of 535,279,722 as per the given fractions.
GCF of 535,279,722 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8,83,97
Given numbers has no common factors except 1. So, there LCM is their product i.e 64408
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 8,83,97 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8,83,97) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8,83,97) x common factors =1 x 1 = 1
LCM(8,83,97) = ( 8 × 83 × 97 ) / 1
LCM(8,83,97) = 64408 / 1
LCM(8,83,97) = 64408
Lets's calculate GCF of 535,279,722
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64408/1
Therefore the LCM of Fractions 8/535,83/279,97/722 is 64408
Factors of 535
List of positive integer factors of 535 that divides 535 without a remainder.
1,5,107,535
Factors of 279
List of positive integer factors of 279 that divides 279 without a remainder.
1,3,9,31,93,279
Factors of 722
List of positive integer factors of 722 that divides 722 without a remainder.
1,2,19,38,361,722
Greatest Common Factor
We found the factors 535,279,722 . The biggest common factor number is the GCF number.
So the greatest common factor 535,279,722 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 8/535, 83/279, 97/722?
Answer: LCM of Numerators as per given numbers 8/535, 83/279, 97/722 is
LCM of Numerators i.e. for 8,83,97 is 64408
GCF of denominators i.e. for 535,279,722 is 1.
Thus, LCM of Fractions is 64408.Finally, LCM of Fractions for 8/535, 83/279, 97/722 is 64408.