Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 22/769, 235/22, 569/708 quickly i.e. 2941730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 22/769, 235/22, 569/708 is 2941730.
LCM(22/769, 235/22, 569/708) = 2941730
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 22/769,235/22,569/708
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 22,235,569
Least Common Multiple of Numerators i.e. LCM of 22,235,569 is 2941730.
GCF of Denominators means GCF of 769,22,708 as per the given fractions.
GCF of 769,22,708 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 22,235,569
Given numbers has no common factors except 1. So, there LCM is their product i.e 2941730
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 22,235,569 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,235,569) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(22,235,569) x common factors =1 x 1 = 1
LCM(22,235,569) = ( 22 × 235 × 569 ) / 1
LCM(22,235,569) = 2941730 / 1
LCM(22,235,569) = 2941730
Lets's calculate GCF of 769,22,708
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2941730/1
Therefore the LCM of Fractions 22/769,235/22,569/708 is 2941730
Factors of 769
List of positive integer factors of 769 that divides 769 without a remainder.
1,769
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 708
List of positive integer factors of 708 that divides 708 without a remainder.
1,2,3,4,6,12,59,118,177,236,354,708
Greatest Common Factor
We found the factors 769,22,708 . The biggest common factor number is the GCF number.
So the greatest common factor 769,22,708 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 22/769, 235/22, 569/708?
Answer: LCM of Numerators as per given numbers 22/769, 235/22, 569/708 is
LCM of Numerators i.e. for 22,235,569 is 2941730
GCF of denominators i.e. for 769,22,708 is 1.
Thus, LCM of Fractions is 2941730.Finally, LCM of Fractions for 22/769, 235/22, 569/708 is 2941730.