Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 40/16, 75/74, 22/95, 49/720 quickly i.e. 323400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 40/16, 75/74, 22/95, 49/720 is 323400.
LCM(40/16, 75/74, 22/95, 49/720) = 323400
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 40/16,75/74,22/95,49/720
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 40,75,22,49
Least Common Multiple of Numerators i.e. LCM of 40,75,22,49 is 323400.
GCF of Denominators means GCF of 16,74,95,720 as per the given fractions.
GCF of 16,74,95,720 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 40,75,22,49
2 | 40, 75, 22, 49 |
5 | 20, 75, 11, 49 |
4, 15, 11, 49 |
∴ So the LCM of the given numbers is 2 x 5 x 4 x 15 x 11 x 49 = 323400
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 40,75,22,49 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,75,22,49) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(40,75,22,49) x common factors =1 x 10 = 10
LCM(40,75,22,49) = ( 40 × 75 × 22 × 49 ) / 10
LCM(40,75,22,49) = 3234000 / 10
LCM(40,75,22,49) = 323400
Lets's calculate GCF of 16,74,95,720
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 323400/1
Therefore the LCM of Fractions 40/16,75/74,22/95,49/720 is 323400
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 720
List of positive integer factors of 720 that divides 720 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720
Greatest Common Factor
We found the factors 16,74,95,720 . The biggest common factor number is the GCF number.
So the greatest common factor 16,74,95,720 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 40/16, 75/74, 22/95, 49/720?
Answer: LCM of Numerators as per given numbers 40/16, 75/74, 22/95, 49/720 is
LCM of Numerators i.e. for 40,75,22,49 is 323400
GCF of denominators i.e. for 16,74,95,720 is 1.
Thus, LCM of Fractions is 323400.Finally, LCM of Fractions for 40/16, 75/74, 22/95, 49/720 is 323400.