Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2/80, 7/68, 63/38, 25/150 quickly i.e. 1575 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2/80, 7/68, 63/38, 25/150 is 1575.
LCM(2/80, 7/68, 63/38, 25/150) = 1575
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2/80,7/68,63/38,25/150
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 2,7,63,25
Least Common Multiple of Numerators i.e. LCM of 2,7,63,25 is 3150.
GCF of Denominators means GCF of 80,68,38,150 as per the given fractions.
GCF of 80,68,38,150 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2,7,63,25
7 | 2, 7, 63, 25 |
2, 1, 9, 25 |
∴ So the LCM of the given numbers is 7 x 2 x 1 x 9 x 25 = 3150
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 2,7,63,25 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2,7,63,25) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(2,7,63,25) x common factors =1 x 7 = 7
LCM(2,7,63,25) = ( 2 × 7 × 63 × 25 ) / 7
LCM(2,7,63,25) = 22050 / 7
LCM(2,7,63,25) = 3150
Lets's calculate GCF of 80,68,38,150
2 | 80, 68, 38, 150 |
40, 34, 19, 75 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3150/2
Therefore the LCM of Fractions 2/80,7/68,63/38,25/150 is 1575
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 150
List of positive integer factors of 150 that divides 150 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,150
Greatest Common Factor
We found the factors 80,68,38,150 . The biggest common factor number is the GCF number.
So the greatest common factor 80,68,38,150 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 2/80, 7/68, 63/38, 25/150?
Answer: LCM of Numerators as per given numbers 2/80, 7/68, 63/38, 25/150 is
LCM of Numerators i.e. for 2,7,63,25 is 3150
GCF of denominators i.e. for 80,68,38,150 is 2.
Thus, LCM of Fractions is 1575.Finally, LCM of Fractions for 2/80, 7/68, 63/38, 25/150 is 1575.