Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 43/633, 21/683, 722/121 quickly i.e. 651966 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 43/633, 21/683, 722/121 is 651966.
LCM(43/633, 21/683, 722/121) = 651966
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 43/633,21/683,722/121
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 43,21,722
Least Common Multiple of Numerators i.e. LCM of 43,21,722 is 651966.
GCF of Denominators means GCF of 633,683,121 as per the given fractions.
GCF of 633,683,121 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 43,21,722
Given numbers has no common factors except 1. So, there LCM is their product i.e 651966
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 43,21,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,21,722) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,21,722) x common factors =1 x 1 = 1
LCM(43,21,722) = ( 43 × 21 × 722 ) / 1
LCM(43,21,722) = 651966 / 1
LCM(43,21,722) = 651966
Lets's calculate GCF of 633,683,121
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 651966/1
Therefore the LCM of Fractions 43/633,21/683,722/121 is 651966
Factors of 633
List of positive integer factors of 633 that divides 633 without a remainder.
1,3,211,633
Factors of 683
List of positive integer factors of 683 that divides 683 without a remainder.
1,683
Factors of 121
List of positive integer factors of 121 that divides 121 without a remainder.
1,11,121
Greatest Common Factor
We found the factors 633,683,121 . The biggest common factor number is the GCF number.
So the greatest common factor 633,683,121 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 43/633, 21/683, 722/121?
Answer: LCM of Numerators as per given numbers 43/633, 21/683, 722/121 is
LCM of Numerators i.e. for 43,21,722 is 651966
GCF of denominators i.e. for 633,683,121 is 1.
Thus, LCM of Fractions is 651966.Finally, LCM of Fractions for 43/633, 21/683, 722/121 is 651966.