Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/421, 63/790, 813/683 quickly i.e. 751212 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/421, 63/790, 813/683 is 751212.
LCM(44/421, 63/790, 813/683) = 751212
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/421,63/790,813/683
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 44,63,813
Least Common Multiple of Numerators i.e. LCM of 44,63,813 is 751212.
GCF of Denominators means GCF of 421,790,683 as per the given fractions.
GCF of 421,790,683 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,63,813
3 | 44, 63, 813 |
44, 21, 271 |
∴ So the LCM of the given numbers is 3 x 44 x 21 x 271 = 751212
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 44,63,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,63,813) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(44,63,813) x common factors =1 x 3 = 3
LCM(44,63,813) = ( 44 × 63 × 813 ) / 3
LCM(44,63,813) = 2253636 / 3
LCM(44,63,813) = 751212
Lets's calculate GCF of 421,790,683
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 751212/1
Therefore the LCM of Fractions 44/421,63/790,813/683 is 751212
Factors of 421
List of positive integer factors of 421 that divides 421 without a remainder.
1,421
Factors of 790
List of positive integer factors of 790 that divides 790 without a remainder.
1,2,5,10,79,158,395,790
Factors of 683
List of positive integer factors of 683 that divides 683 without a remainder.
1,683
Greatest Common Factor
We found the factors 421,790,683 . The biggest common factor number is the GCF number.
So the greatest common factor 421,790,683 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 44/421, 63/790, 813/683?
Answer: LCM of Numerators as per given numbers 44/421, 63/790, 813/683 is
LCM of Numerators i.e. for 44,63,813 is 751212
GCF of denominators i.e. for 421,790,683 is 1.
Thus, LCM of Fractions is 751212.Finally, LCM of Fractions for 44/421, 63/790, 813/683 is 751212.