Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 467/795, 699/559, 110/989 quickly i.e. 35907630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 467/795, 699/559, 110/989 is 35907630.
LCM(467/795, 699/559, 110/989) = 35907630
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 467/795,699/559,110/989
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 467,699,110
Least Common Multiple of Numerators i.e. LCM of 467,699,110 is 35907630.
GCF of Denominators means GCF of 795,559,989 as per the given fractions.
GCF of 795,559,989 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 467,699,110
Given numbers has no common factors except 1. So, there LCM is their product i.e 35907630
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 467,699,110 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(467,699,110) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(467,699,110) x common factors =1 x 1 = 1
LCM(467,699,110) = ( 467 × 699 × 110 ) / 1
LCM(467,699,110) = 35907630 / 1
LCM(467,699,110) = 35907630
Lets's calculate GCF of 795,559,989
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35907630/1
Therefore the LCM of Fractions 467/795,699/559,110/989 is 35907630
Factors of 795
List of positive integer factors of 795 that divides 795 without a remainder.
1,3,5,15,53,159,265,795
Factors of 559
List of positive integer factors of 559 that divides 559 without a remainder.
1,13,43,559
Factors of 989
List of positive integer factors of 989 that divides 989 without a remainder.
1,23,43,989
Greatest Common Factor
We found the factors 795,559,989 . The biggest common factor number is the GCF number.
So the greatest common factor 795,559,989 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 467/795, 699/559, 110/989?
Answer: LCM of Numerators as per given numbers 467/795, 699/559, 110/989 is
LCM of Numerators i.e. for 467,699,110 is 35907630
GCF of denominators i.e. for 795,559,989 is 1.
Thus, LCM of Fractions is 35907630.Finally, LCM of Fractions for 467/795, 699/559, 110/989 is 35907630.