Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 22/43, 63/985, 594/674 quickly i.e. 4158 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 22/43, 63/985, 594/674 is 4158.
LCM(22/43, 63/985, 594/674) = 4158
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 22/43,63/985,594/674
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 22,63,594
Least Common Multiple of Numerators i.e. LCM of 22,63,594 is 4158.
GCF of Denominators means GCF of 43,985,674 as per the given fractions.
GCF of 43,985,674 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 22,63,594
2 | 22, 63, 594 |
3 | 11, 63, 297 |
3 | 11, 21, 99 |
11 | 11, 7, 33 |
1, 7, 3 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 11 x 1 x 7 x 3 = 4158
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 22,63,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,63,594) = 1
common factors(in case of two or more numbers have common factors) = 198
GCF(22,63,594) x common factors =1 x 198 = 198
LCM(22,63,594) = ( 22 × 63 × 594 ) / 198
LCM(22,63,594) = 823284 / 198
LCM(22,63,594) = 4158
Lets's calculate GCF of 43,985,674
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4158/1
Therefore the LCM of Fractions 22/43,63/985,594/674 is 4158
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 985
List of positive integer factors of 985 that divides 985 without a remainder.
1,5,197,985
Factors of 674
List of positive integer factors of 674 that divides 674 without a remainder.
1,2,337,674
Greatest Common Factor
We found the factors 43,985,674 . The biggest common factor number is the GCF number.
So the greatest common factor 43,985,674 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 22/43, 63/985, 594/674?
Answer: LCM of Numerators as per given numbers 22/43, 63/985, 594/674 is
LCM of Numerators i.e. for 22,63,594 is 4158
GCF of denominators i.e. for 43,985,674 is 1.
Thus, LCM of Fractions is 4158.Finally, LCM of Fractions for 22/43, 63/985, 594/674 is 4158.