Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 43/14, 722/77, 450/249 quickly i.e. 6985350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 43/14, 722/77, 450/249 is 6985350.
LCM(43/14, 722/77, 450/249) = 6985350
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 43/14,722/77,450/249
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 43,722,450
Least Common Multiple of Numerators i.e. LCM of 43,722,450 is 6985350.
GCF of Denominators means GCF of 14,77,249 as per the given fractions.
GCF of 14,77,249 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 43,722,450
2 | 43, 722, 450 |
43, 361, 225 |
∴ So the LCM of the given numbers is 2 x 43 x 361 x 225 = 6985350
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 43,722,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,722,450) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(43,722,450) x common factors =1 x 2 = 2
LCM(43,722,450) = ( 43 × 722 × 450 ) / 2
LCM(43,722,450) = 13970700 / 2
LCM(43,722,450) = 6985350
Lets's calculate GCF of 14,77,249
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6985350/1
Therefore the LCM of Fractions 43/14,722/77,450/249 is 6985350
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 249
List of positive integer factors of 249 that divides 249 without a remainder.
1,3,83,249
Greatest Common Factor
We found the factors 14,77,249 . The biggest common factor number is the GCF number.
So the greatest common factor 14,77,249 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 43/14, 722/77, 450/249?
Answer: LCM of Numerators as per given numbers 43/14, 722/77, 450/249 is
LCM of Numerators i.e. for 43,722,450 is 6985350
GCF of denominators i.e. for 14,77,249 is 1.
Thus, LCM of Fractions is 6985350.Finally, LCM of Fractions for 43/14, 722/77, 450/249 is 6985350.