Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1/19, 3/45, 22/59, 22/92 quickly i.e. 66 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1/19, 3/45, 22/59, 22/92 is 66.
LCM(1/19, 3/45, 22/59, 22/92) = 66
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1/19,3/45,22/59,22/92
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 1,3,22,22
Least Common Multiple of Numerators i.e. LCM of 1,3,22,22 is 66.
GCF of Denominators means GCF of 19,45,59,92 as per the given fractions.
GCF of 19,45,59,92 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1,3,22,22
2 | 1, 3, 22, 22 |
11 | 1, 3, 11, 11 |
1, 3, 1, 1 |
∴ So the LCM of the given numbers is 2 x 11 x 1 x 3 x 1 x 1 = 66
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 1,3,22,22 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1,3,22,22) = 1
common factors(in case of two or more numbers have common factors) = 22
GCF(1,3,22,22) x common factors =1 x 22 = 22
LCM(1,3,22,22) = ( 1 × 3 × 22 × 22 ) / 22
LCM(1,3,22,22) = 1452 / 22
LCM(1,3,22,22) = 66
Lets's calculate GCF of 19,45,59,92
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66/1
Therefore the LCM of Fractions 1/19,3/45,22/59,22/92 is 66
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Greatest Common Factor
We found the factors 19,45,59,92 . The biggest common factor number is the GCF number.
So the greatest common factor 19,45,59,92 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 1/19, 3/45, 22/59, 22/92?
Answer: LCM of Numerators as per given numbers 1/19, 3/45, 22/59, 22/92 is
LCM of Numerators i.e. for 1,3,22,22 is 66
GCF of denominators i.e. for 19,45,59,92 is 1.
Thus, LCM of Fractions is 66.Finally, LCM of Fractions for 1/19, 3/45, 22/59, 22/92 is 66.