Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 20/42, 90/81, 70/72, 46/265 quickly i.e. 28980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 20/42, 90/81, 70/72, 46/265 is 28980.
LCM(20/42, 90/81, 70/72, 46/265) = 28980
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 20/42,90/81,70/72,46/265
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 20,90,70,46
Least Common Multiple of Numerators i.e. LCM of 20,90,70,46 is 28980.
GCF of Denominators means GCF of 42,81,72,265 as per the given fractions.
GCF of 42,81,72,265 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 20,90,70,46
2 | 20, 90, 70, 46 |
5 | 10, 45, 35, 23 |
2, 9, 7, 23 |
∴ So the LCM of the given numbers is 2 x 5 x 2 x 9 x 7 x 23 = 28980
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 20,90,70,46 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,90,70,46) = 2
common factors(in case of two or more numbers have common factors) = 100
GCF(20,90,70,46) x common factors =2 x 100 = 200
LCM(20,90,70,46) = ( 20 × 90 × 70 × 46 ) / 200
LCM(20,90,70,46) = 5796000 / 200
LCM(20,90,70,46) = 28980
Lets's calculate GCF of 42,81,72,265
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28980/1
Therefore the LCM of Fractions 20/42,90/81,70/72,46/265 is 28980
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 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 265
List of positive integer factors of 265 that divides 265 without a remainder.
1,5,53,265
Greatest Common Factor
We found the factors 42,81,72,265 . The biggest common factor number is the GCF number.
So the greatest common factor 42,81,72,265 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 20/42, 90/81, 70/72, 46/265?
Answer: LCM of Numerators as per given numbers 20/42, 90/81, 70/72, 46/265 is
LCM of Numerators i.e. for 20,90,70,46 is 28980
GCF of denominators i.e. for 42,81,72,265 is 1.
Thus, LCM of Fractions is 28980.Finally, LCM of Fractions for 20/42, 90/81, 70/72, 46/265 is 28980.