Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/36, 16/70, 247/160 quickly i.e. 73112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/36, 16/70, 247/160 is 73112.
LCM(74/36, 16/70, 247/160) = 73112
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/36,16/70,247/160
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 74,16,247
Least Common Multiple of Numerators i.e. LCM of 74,16,247 is 146224.
GCF of Denominators means GCF of 36,70,160 as per the given fractions.
GCF of 36,70,160 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,16,247
2 | 74, 16, 247 |
37, 8, 247 |
∴ So the LCM of the given numbers is 2 x 37 x 8 x 247 = 146224
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 74,16,247 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,16,247) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(74,16,247) x common factors =1 x 2 = 2
LCM(74,16,247) = ( 74 × 16 × 247 ) / 2
LCM(74,16,247) = 292448 / 2
LCM(74,16,247) = 146224
Lets's calculate GCF of 36,70,160
2 | 36, 70, 160 |
18, 35, 80 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 146224/2
Therefore the LCM of Fractions 74/36,16/70,247/160 is 73112
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 160
List of positive integer factors of 160 that divides 160 without a remainder.
1,2,4,5,8,10,16,20,32,40,80,160
Greatest Common Factor
We found the factors 36,70,160 . The biggest common factor number is the GCF number.
So the greatest common factor 36,70,160 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 74/36, 16/70, 247/160?
Answer: LCM of Numerators as per given numbers 74/36, 16/70, 247/160 is
LCM of Numerators i.e. for 74,16,247 is 146224
GCF of denominators i.e. for 36,70,160 is 2.
Thus, LCM of Fractions is 73112.Finally, LCM of Fractions for 74/36, 16/70, 247/160 is 73112.