Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 22/683, 46/608, 814/354 quickly i.e. 18722 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 22/683, 46/608, 814/354 is 18722.
LCM(22/683, 46/608, 814/354) = 18722
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 22/683,46/608,814/354
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 22,46,814
Least Common Multiple of Numerators i.e. LCM of 22,46,814 is 18722.
GCF of Denominators means GCF of 683,608,354 as per the given fractions.
GCF of 683,608,354 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 22,46,814
2 | 22, 46, 814 |
11 | 11, 23, 407 |
1, 23, 37 |
∴ So the LCM of the given numbers is 2 x 11 x 1 x 23 x 37 = 18722
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 22,46,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,46,814) = 2
common factors(in case of two or more numbers have common factors) = 22
GCF(22,46,814) x common factors =2 x 22 = 44
LCM(22,46,814) = ( 22 × 46 × 814 ) / 44
LCM(22,46,814) = 823768 / 44
LCM(22,46,814) = 18722
Lets's calculate GCF of 683,608,354
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18722/1
Therefore the LCM of Fractions 22/683,46/608,814/354 is 18722
Factors of 683
List of positive integer factors of 683 that divides 683 without a remainder.
1,683
Factors of 608
List of positive integer factors of 608 that divides 608 without a remainder.
1,2,4,8,16,19,32,38,76,152,304,608
Factors of 354
List of positive integer factors of 354 that divides 354 without a remainder.
1,2,3,6,59,118,177,354
Greatest Common Factor
We found the factors 683,608,354 . The biggest common factor number is the GCF number.
So the greatest common factor 683,608,354 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 22/683, 46/608, 814/354?
Answer: LCM of Numerators as per given numbers 22/683, 46/608, 814/354 is
LCM of Numerators i.e. for 22,46,814 is 18722
GCF of denominators i.e. for 683,608,354 is 1.
Thus, LCM of Fractions is 18722.Finally, LCM of Fractions for 22/683, 46/608, 814/354 is 18722.