Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 697/63, 233/66, 757/970 quickly i.e. 122937557 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 697/63, 233/66, 757/970 is 122937557.
LCM(697/63, 233/66, 757/970) = 122937557
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 697/63,233/66,757/970
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 697,233,757
Least Common Multiple of Numerators i.e. LCM of 697,233,757 is 122937557.
GCF of Denominators means GCF of 63,66,970 as per the given fractions.
GCF of 63,66,970 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 697,233,757
Given numbers has no common factors except 1. So, there LCM is their product i.e 122937557
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 697,233,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(697,233,757) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(697,233,757) x common factors =1 x 1 = 1
LCM(697,233,757) = ( 697 × 233 × 757 ) / 1
LCM(697,233,757) = 122937557 / 1
LCM(697,233,757) = 122937557
Lets's calculate GCF of 63,66,970
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 122937557/1
Therefore the LCM of Fractions 697/63,233/66,757/970 is 122937557
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 970
List of positive integer factors of 970 that divides 970 without a remainder.
1,2,5,10,97,194,485,970
Greatest Common Factor
We found the factors 63,66,970 . The biggest common factor number is the GCF number.
So the greatest common factor 63,66,970 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 697/63, 233/66, 757/970?
Answer: LCM of Numerators as per given numbers 697/63, 233/66, 757/970 is
LCM of Numerators i.e. for 697,233,757 is 122937557
GCF of denominators i.e. for 63,66,970 is 1.
Thus, LCM of Fractions is 122937557.Finally, LCM of Fractions for 697/63, 233/66, 757/970 is 122937557.