Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/83, 40/90, 39/49, 73/106 quickly i.e. 4213560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/83, 40/90, 39/49, 73/106 is 4213560.
LCM(74/83, 40/90, 39/49, 73/106) = 4213560
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/83,40/90,39/49,73/106
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 74,40,39,73
Least Common Multiple of Numerators i.e. LCM of 74,40,39,73 is 4213560.
GCF of Denominators means GCF of 83,90,49,106 as per the given fractions.
GCF of 83,90,49,106 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,40,39,73
2 | 74, 40, 39, 73 |
37, 20, 39, 73 |
∴ So the LCM of the given numbers is 2 x 37 x 20 x 39 x 73 = 4213560
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 74,40,39,73 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,40,39,73) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(74,40,39,73) x common factors =1 x 2 = 2
LCM(74,40,39,73) = ( 74 × 40 × 39 × 73 ) / 2
LCM(74,40,39,73) = 8427120 / 2
LCM(74,40,39,73) = 4213560
Lets's calculate GCF of 83,90,49,106
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4213560/1
Therefore the LCM of Fractions 74/83,40/90,39/49,73/106 is 4213560
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
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 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 106
List of positive integer factors of 106 that divides 106 without a remainder.
1,2,53,106
Greatest Common Factor
We found the factors 83,90,49,106 . The biggest common factor number is the GCF number.
So the greatest common factor 83,90,49,106 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 74/83, 40/90, 39/49, 73/106?
Answer: LCM of Numerators as per given numbers 74/83, 40/90, 39/49, 73/106 is
LCM of Numerators i.e. for 74,40,39,73 is 4213560
GCF of denominators i.e. for 83,90,49,106 is 1.
Thus, LCM of Fractions is 4213560.Finally, LCM of Fractions for 74/83, 40/90, 39/49, 73/106 is 4213560.