Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 178/15, 918/70, 394/600 quickly i.e. 16095294/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 178/15, 918/70, 394/600 is 16095294/5.
LCM(178/15, 918/70, 394/600) = 16095294/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 178/15,918/70,394/600
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 178,918,394
Least Common Multiple of Numerators i.e. LCM of 178,918,394 is 16095294.
GCF of Denominators means GCF of 15,70,600 as per the given fractions.
GCF of 15,70,600 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 178,918,394
2 | 178, 918, 394 |
89, 459, 197 |
∴ So the LCM of the given numbers is 2 x 89 x 459 x 197 = 16095294
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 178,918,394 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(178,918,394) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(178,918,394) x common factors =2 x 2 = 4
LCM(178,918,394) = ( 178 × 918 × 394 ) / 4
LCM(178,918,394) = 64381176 / 4
LCM(178,918,394) = 16095294
Lets's calculate GCF of 15,70,600
5 | 15, 70, 600 |
3, 14, 120 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16095294/5
Therefore the LCM of Fractions 178/15,918/70,394/600 is 16095294/5
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
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 600
List of positive integer factors of 600 that divides 600 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600
Greatest Common Factor
We found the factors 15,70,600 . The biggest common factor number is the GCF number.
So the greatest common factor 15,70,600 is 5.
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 178/15, 918/70, 394/600?
Answer: LCM of Numerators as per given numbers 178/15, 918/70, 394/600 is
LCM of Numerators i.e. for 178,918,394 is 16095294
GCF of denominators i.e. for 15,70,600 is 5.
Thus, LCM of Fractions is 16095294/5.Finally, LCM of Fractions for 178/15, 918/70, 394/600 is 16095294/5.