Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 45/92, 130/31, 306/118 quickly i.e. 19890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 45/92, 130/31, 306/118 is 19890.
LCM(45/92, 130/31, 306/118) = 19890
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 45/92,130/31,306/118
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 45,130,306
Least Common Multiple of Numerators i.e. LCM of 45,130,306 is 19890.
GCF of Denominators means GCF of 92,31,118 as per the given fractions.
GCF of 92,31,118 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 45,130,306
2 | 45, 130, 306 |
3 | 45, 65, 153 |
3 | 15, 65, 51 |
5 | 5, 65, 17 |
1, 13, 17 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 13 x 17 = 19890
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 45,130,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,130,306) = 1
common factors(in case of two or more numbers have common factors) = 90
GCF(45,130,306) x common factors =1 x 90 = 90
LCM(45,130,306) = ( 45 × 130 × 306 ) / 90
LCM(45,130,306) = 1790100 / 90
LCM(45,130,306) = 19890
Lets's calculate GCF of 92,31,118
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19890/1
Therefore the LCM of Fractions 45/92,130/31,306/118 is 19890
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 118
List of positive integer factors of 118 that divides 118 without a remainder.
1,2,59,118
Greatest Common Factor
We found the factors 92,31,118 . The biggest common factor number is the GCF number.
So the greatest common factor 92,31,118 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 45/92, 130/31, 306/118?
Answer: LCM of Numerators as per given numbers 45/92, 130/31, 306/118 is
LCM of Numerators i.e. for 45,130,306 is 19890
GCF of denominators i.e. for 92,31,118 is 1.
Thus, LCM of Fractions is 19890.Finally, LCM of Fractions for 45/92, 130/31, 306/118 is 19890.