Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 691/114, 884/416, 973/505 quickly i.e. 594351212 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 691/114, 884/416, 973/505 is 594351212.
LCM(691/114, 884/416, 973/505) = 594351212
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 691/114,884/416,973/505
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 691,884,973
Least Common Multiple of Numerators i.e. LCM of 691,884,973 is 594351212.
GCF of Denominators means GCF of 114,416,505 as per the given fractions.
GCF of 114,416,505 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 691,884,973
Given numbers has no common factors except 1. So, there LCM is their product i.e 594351212
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 691,884,973 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(691,884,973) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(691,884,973) x common factors =1 x 1 = 1
LCM(691,884,973) = ( 691 × 884 × 973 ) / 1
LCM(691,884,973) = 594351212 / 1
LCM(691,884,973) = 594351212
Lets's calculate GCF of 114,416,505
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 594351212/1
Therefore the LCM of Fractions 691/114,884/416,973/505 is 594351212
Factors of 114
List of positive integer factors of 114 that divides 114 without a remainder.
1,2,3,6,19,38,57,114
Factors of 416
List of positive integer factors of 416 that divides 416 without a remainder.
1,2,4,8,13,16,26,32,52,104,208,416
Factors of 505
List of positive integer factors of 505 that divides 505 without a remainder.
1,5,101,505
Greatest Common Factor
We found the factors 114,416,505 . The biggest common factor number is the GCF number.
So the greatest common factor 114,416,505 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 691/114, 884/416, 973/505?
Answer: LCM of Numerators as per given numbers 691/114, 884/416, 973/505 is
LCM of Numerators i.e. for 691,884,973 is 594351212
GCF of denominators i.e. for 114,416,505 is 1.
Thus, LCM of Fractions is 594351212.Finally, LCM of Fractions for 691/114, 884/416, 973/505 is 594351212.