Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 617/308, 746/707, 743/597 quickly i.e. 341989526 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 617/308, 746/707, 743/597 is 341989526.
LCM(617/308, 746/707, 743/597) = 341989526
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 617/308,746/707,743/597
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 617,746,743
Least Common Multiple of Numerators i.e. LCM of 617,746,743 is 341989526.
GCF of Denominators means GCF of 308,707,597 as per the given fractions.
GCF of 308,707,597 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 617,746,743
Given numbers has no common factors except 1. So, there LCM is their product i.e 341989526
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 617,746,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(617,746,743) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(617,746,743) x common factors =1 x 1 = 1
LCM(617,746,743) = ( 617 × 746 × 743 ) / 1
LCM(617,746,743) = 341989526 / 1
LCM(617,746,743) = 341989526
Lets's calculate GCF of 308,707,597
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 341989526/1
Therefore the LCM of Fractions 617/308,746/707,743/597 is 341989526
Factors of 308
List of positive integer factors of 308 that divides 308 without a remainder.
1,2,4,7,11,14,22,28,44,77,154,308
Factors of 707
List of positive integer factors of 707 that divides 707 without a remainder.
1,7,101,707
Factors of 597
List of positive integer factors of 597 that divides 597 without a remainder.
1,3,199,597
Greatest Common Factor
We found the factors 308,707,597 . The biggest common factor number is the GCF number.
So the greatest common factor 308,707,597 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 617/308, 746/707, 743/597?
Answer: LCM of Numerators as per given numbers 617/308, 746/707, 743/597 is
LCM of Numerators i.e. for 617,746,743 is 341989526
GCF of denominators i.e. for 308,707,597 is 1.
Thus, LCM of Fractions is 341989526.Finally, LCM of Fractions for 617/308, 746/707, 743/597 is 341989526.