Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 22/930, 17/680, 298/428 quickly i.e. 27863 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 22/930, 17/680, 298/428 is 27863.
LCM(22/930, 17/680, 298/428) = 27863
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 22/930,17/680,298/428
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 22,17,298
Least Common Multiple of Numerators i.e. LCM of 22,17,298 is 55726.
GCF of Denominators means GCF of 930,680,428 as per the given fractions.
GCF of 930,680,428 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 22,17,298
2 | 22, 17, 298 |
11, 17, 149 |
∴ So the LCM of the given numbers is 2 x 11 x 17 x 149 = 55726
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 22,17,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,17,298) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(22,17,298) x common factors =1 x 2 = 2
LCM(22,17,298) = ( 22 × 17 × 298 ) / 2
LCM(22,17,298) = 111452 / 2
LCM(22,17,298) = 55726
Lets's calculate GCF of 930,680,428
2 | 930, 680, 428 |
465, 340, 214 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55726/2
Therefore the LCM of Fractions 22/930,17/680,298/428 is 27863
Factors of 930
List of positive integer factors of 930 that divides 930 without a remainder.
1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930
Factors of 680
List of positive integer factors of 680 that divides 680 without a remainder.
1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680
Factors of 428
List of positive integer factors of 428 that divides 428 without a remainder.
1,2,4,107,214,428
Greatest Common Factor
We found the factors 930,680,428 . The biggest common factor number is the GCF number.
So the greatest common factor 930,680,428 is 2.
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 22/930, 17/680, 298/428?
Answer: LCM of Numerators as per given numbers 22/930, 17/680, 298/428 is
LCM of Numerators i.e. for 22,17,298 is 55726
GCF of denominators i.e. for 930,680,428 is 2.
Thus, LCM of Fractions is 27863.Finally, LCM of Fractions for 22/930, 17/680, 298/428 is 27863.