Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 83/87, 69/77, 77/17, 74/775 quickly i.e. 32632446 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 83/87, 69/77, 77/17, 74/775 is 32632446.
LCM(83/87, 69/77, 77/17, 74/775) = 32632446
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 83/87,69/77,77/17,74/775
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 83,69,77,74
Least Common Multiple of Numerators i.e. LCM of 83,69,77,74 is 32632446.
GCF of Denominators means GCF of 87,77,17,775 as per the given fractions.
GCF of 87,77,17,775 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 83,69,77,74
Given numbers has no common factors except 1. So, there LCM is their product i.e 32632446
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 83,69,77,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,69,77,74) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,69,77,74) x common factors =1 x 1 = 1
LCM(83,69,77,74) = ( 83 × 69 × 77 × 74 ) / 1
LCM(83,69,77,74) = 32632446 / 1
LCM(83,69,77,74) = 32632446
Lets's calculate GCF of 87,77,17,775
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32632446/1
Therefore the LCM of Fractions 83/87,69/77,77/17,74/775 is 32632446
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 775
List of positive integer factors of 775 that divides 775 without a remainder.
1,5,25,31,155,775
Greatest Common Factor
We found the factors 87,77,17,775 . The biggest common factor number is the GCF number.
So the greatest common factor 87,77,17,775 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 83/87, 69/77, 77/17, 74/775?
Answer: LCM of Numerators as per given numbers 83/87, 69/77, 77/17, 74/775 is
LCM of Numerators i.e. for 83,69,77,74 is 32632446
GCF of denominators i.e. for 87,77,17,775 is 1.
Thus, LCM of Fractions is 32632446.Finally, LCM of Fractions for 83/87, 69/77, 77/17, 74/775 is 32632446.