Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 10/40, 72/42, 608/50 quickly i.e. 13680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 10/40, 72/42, 608/50 is 13680.
LCM(10/40, 72/42, 608/50) = 13680
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 10/40,72/42,608/50
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 10,72,608
Least Common Multiple of Numerators i.e. LCM of 10,72,608 is 27360.
GCF of Denominators means GCF of 40,42,50 as per the given fractions.
GCF of 40,42,50 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 10,72,608
2 | 10, 72, 608 |
2 | 5, 36, 304 |
2 | 5, 18, 152 |
5, 9, 76 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 9 x 76 = 27360
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 10,72,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,72,608) = 2
common factors(in case of two or more numbers have common factors) = 8
GCF(10,72,608) x common factors =2 x 8 = 16
LCM(10,72,608) = ( 10 × 72 × 608 ) / 16
LCM(10,72,608) = 437760 / 16
LCM(10,72,608) = 27360
Lets's calculate GCF of 40,42,50
2 | 40, 42, 50 |
20, 21, 25 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27360/2
Therefore the LCM of Fractions 10/40,72/42,608/50 is 13680
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
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 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Greatest Common Factor
We found the factors 40,42,50 . The biggest common factor number is the GCF number.
So the greatest common factor 40,42,50 is 2.
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 10/40, 72/42, 608/50?
Answer: LCM of Numerators as per given numbers 10/40, 72/42, 608/50 is
LCM of Numerators i.e. for 10,72,608 is 27360
GCF of denominators i.e. for 40,42,50 is 2.
Thus, LCM of Fractions is 13680.Finally, LCM of Fractions for 10/40, 72/42, 608/50 is 13680.