Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 770/390, 691/606, 608/593 quickly i.e. 161749280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 770/390, 691/606, 608/593 is 161749280.
LCM(770/390, 691/606, 608/593) = 161749280
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 770/390,691/606,608/593
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 770,691,608
Least Common Multiple of Numerators i.e. LCM of 770,691,608 is 161749280.
GCF of Denominators means GCF of 390,606,593 as per the given fractions.
GCF of 390,606,593 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 770,691,608
2 | 770, 691, 608 |
385, 691, 304 |
∴ So the LCM of the given numbers is 2 x 385 x 691 x 304 = 161749280
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 770,691,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(770,691,608) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(770,691,608) x common factors =1 x 2 = 2
LCM(770,691,608) = ( 770 × 691 × 608 ) / 2
LCM(770,691,608) = 323498560 / 2
LCM(770,691,608) = 161749280
Lets's calculate GCF of 390,606,593
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 161749280/1
Therefore the LCM of Fractions 770/390,691/606,608/593 is 161749280
Factors of 390
List of positive integer factors of 390 that divides 390 without a remainder.
1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390
Factors of 606
List of positive integer factors of 606 that divides 606 without a remainder.
1,2,3,6,101,202,303,606
Factors of 593
List of positive integer factors of 593 that divides 593 without a remainder.
1,593
Greatest Common Factor
We found the factors 390,606,593 . The biggest common factor number is the GCF number.
So the greatest common factor 390,606,593 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 770/390, 691/606, 608/593?
Answer: LCM of Numerators as per given numbers 770/390, 691/606, 608/593 is
LCM of Numerators i.e. for 770,691,608 is 161749280
GCF of denominators i.e. for 390,606,593 is 1.
Thus, LCM of Fractions is 161749280.Finally, LCM of Fractions for 770/390, 691/606, 608/593 is 161749280.