Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 703/266, 586/445, 355/122 quickly i.e. 146245090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 703/266, 586/445, 355/122 is 146245090.
LCM(703/266, 586/445, 355/122) = 146245090
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 703/266,586/445,355/122
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 703,586,355
Least Common Multiple of Numerators i.e. LCM of 703,586,355 is 146245090.
GCF of Denominators means GCF of 266,445,122 as per the given fractions.
GCF of 266,445,122 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 703,586,355
Given numbers has no common factors except 1. So, there LCM is their product i.e 146245090
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 703,586,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(703,586,355) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(703,586,355) x common factors =1 x 1 = 1
LCM(703,586,355) = ( 703 × 586 × 355 ) / 1
LCM(703,586,355) = 146245090 / 1
LCM(703,586,355) = 146245090
Lets's calculate GCF of 266,445,122
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 146245090/1
Therefore the LCM of Fractions 703/266,586/445,355/122 is 146245090
Factors of 266
List of positive integer factors of 266 that divides 266 without a remainder.
1,2,7,14,19,38,133,266
Factors of 445
List of positive integer factors of 445 that divides 445 without a remainder.
1,5,89,445
Factors of 122
List of positive integer factors of 122 that divides 122 without a remainder.
1,2,61,122
Greatest Common Factor
We found the factors 266,445,122 . The biggest common factor number is the GCF number.
So the greatest common factor 266,445,122 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 703/266, 586/445, 355/122?
Answer: LCM of Numerators as per given numbers 703/266, 586/445, 355/122 is
LCM of Numerators i.e. for 703,586,355 is 146245090
GCF of denominators i.e. for 266,445,122 is 1.
Thus, LCM of Fractions is 146245090.Finally, LCM of Fractions for 703/266, 586/445, 355/122 is 146245090.