Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/782, 69/661, 104/722 quickly i.e. 265512 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/782, 69/661, 104/722 is 265512.
LCM(74/782, 69/661, 104/722) = 265512
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/782,69/661,104/722
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 74,69,104
Least Common Multiple of Numerators i.e. LCM of 74,69,104 is 265512.
GCF of Denominators means GCF of 782,661,722 as per the given fractions.
GCF of 782,661,722 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,69,104
2 | 74, 69, 104 |
37, 69, 52 |
∴ So the LCM of the given numbers is 2 x 37 x 69 x 52 = 265512
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 74,69,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,69,104) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(74,69,104) x common factors =1 x 2 = 2
LCM(74,69,104) = ( 74 × 69 × 104 ) / 2
LCM(74,69,104) = 531024 / 2
LCM(74,69,104) = 265512
Lets's calculate GCF of 782,661,722
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 265512/1
Therefore the LCM of Fractions 74/782,69/661,104/722 is 265512
Factors of 782
List of positive integer factors of 782 that divides 782 without a remainder.
1,2,17,23,34,46,391,782
Factors of 661
List of positive integer factors of 661 that divides 661 without a remainder.
1,661
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 782,661,722 . The biggest common factor number is the GCF number.
So the greatest common factor 782,661,722 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 74/782, 69/661, 104/722?
Answer: LCM of Numerators as per given numbers 74/782, 69/661, 104/722 is
LCM of Numerators i.e. for 74,69,104 is 265512
GCF of denominators i.e. for 782,661,722 is 1.
Thus, LCM of Fractions is 265512.Finally, LCM of Fractions for 74/782, 69/661, 104/722 is 265512.