Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 30/90, 63/79, 41/42, 43/164 quickly i.e. 1110690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 30/90, 63/79, 41/42, 43/164 is 1110690.
LCM(30/90, 63/79, 41/42, 43/164) = 1110690
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 30/90,63/79,41/42,43/164
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 30,63,41,43
Least Common Multiple of Numerators i.e. LCM of 30,63,41,43 is 1110690.
GCF of Denominators means GCF of 90,79,42,164 as per the given fractions.
GCF of 90,79,42,164 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 30,63,41,43
3 | 30, 63, 41, 43 |
10, 21, 41, 43 |
∴ So the LCM of the given numbers is 3 x 10 x 21 x 41 x 43 = 1110690
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 30,63,41,43 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,63,41,43) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(30,63,41,43) x common factors =1 x 3 = 3
LCM(30,63,41,43) = ( 30 × 63 × 41 × 43 ) / 3
LCM(30,63,41,43) = 3332070 / 3
LCM(30,63,41,43) = 1110690
Lets's calculate GCF of 90,79,42,164
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1110690/1
Therefore the LCM of Fractions 30/90,63/79,41/42,43/164 is 1110690
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 164
List of positive integer factors of 164 that divides 164 without a remainder.
1,2,4,41,82,164
Greatest Common Factor
We found the factors 90,79,42,164 . The biggest common factor number is the GCF number.
So the greatest common factor 90,79,42,164 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 30/90, 63/79, 41/42, 43/164?
Answer: LCM of Numerators as per given numbers 30/90, 63/79, 41/42, 43/164 is
LCM of Numerators i.e. for 30,63,41,43 is 1110690
GCF of denominators i.e. for 90,79,42,164 is 1.
Thus, LCM of Fractions is 1110690.Finally, LCM of Fractions for 30/90, 63/79, 41/42, 43/164 is 1110690.