Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 691/73, 989/71, 528/160 quickly i.e. 360834672 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 691/73, 989/71, 528/160 is 360834672.
LCM(691/73, 989/71, 528/160) = 360834672
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 691/73,989/71,528/160
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 691,989,528
Least Common Multiple of Numerators i.e. LCM of 691,989,528 is 360834672.
GCF of Denominators means GCF of 73,71,160 as per the given fractions.
GCF of 73,71,160 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 691,989,528
Given numbers has no common factors except 1. So, there LCM is their product i.e 360834672
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 691,989,528 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(691,989,528) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(691,989,528) x common factors =1 x 1 = 1
LCM(691,989,528) = ( 691 × 989 × 528 ) / 1
LCM(691,989,528) = 360834672 / 1
LCM(691,989,528) = 360834672
Lets's calculate GCF of 73,71,160
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 360834672/1
Therefore the LCM of Fractions 691/73,989/71,528/160 is 360834672
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 160
List of positive integer factors of 160 that divides 160 without a remainder.
1,2,4,5,8,10,16,20,32,40,80,160
Greatest Common Factor
We found the factors 73,71,160 . The biggest common factor number is the GCF number.
So the greatest common factor 73,71,160 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 691/73, 989/71, 528/160?
Answer: LCM of Numerators as per given numbers 691/73, 989/71, 528/160 is
LCM of Numerators i.e. for 691,989,528 is 360834672
GCF of denominators i.e. for 73,71,160 is 1.
Thus, LCM of Fractions is 360834672.Finally, LCM of Fractions for 691/73, 989/71, 528/160 is 360834672.