Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 701/79, 422/30, 911/90 quickly i.e. 269493842 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 701/79, 422/30, 911/90 is 269493842.
LCM(701/79, 422/30, 911/90) = 269493842
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 701/79,422/30,911/90
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 701,422,911
Least Common Multiple of Numerators i.e. LCM of 701,422,911 is 269493842.
GCF of Denominators means GCF of 79,30,90 as per the given fractions.
GCF of 79,30,90 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 701,422,911
Given numbers has no common factors except 1. So, there LCM is their product i.e 269493842
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 701,422,911 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(701,422,911) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(701,422,911) x common factors =1 x 1 = 1
LCM(701,422,911) = ( 701 × 422 × 911 ) / 1
LCM(701,422,911) = 269493842 / 1
LCM(701,422,911) = 269493842
Lets's calculate GCF of 79,30,90
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 269493842/1
Therefore the LCM of Fractions 701/79,422/30,911/90 is 269493842
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Greatest Common Factor
We found the factors 79,30,90 . The biggest common factor number is the GCF number.
So the greatest common factor 79,30,90 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 701/79, 422/30, 911/90?
Answer: LCM of Numerators as per given numbers 701/79, 422/30, 911/90 is
LCM of Numerators i.e. for 701,422,911 is 269493842
GCF of denominators i.e. for 79,30,90 is 1.
Thus, LCM of Fractions is 269493842.Finally, LCM of Fractions for 701/79, 422/30, 911/90 is 269493842.