Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3/160, 94/834, 87/478 quickly i.e. 4089 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3/160, 94/834, 87/478 is 4089.
LCM(3/160, 94/834, 87/478) = 4089
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3/160,94/834,87/478
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 3,94,87
Least Common Multiple of Numerators i.e. LCM of 3,94,87 is 8178.
GCF of Denominators means GCF of 160,834,478 as per the given fractions.
GCF of 160,834,478 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3,94,87
3 | 3, 94, 87 |
1, 94, 29 |
∴ So the LCM of the given numbers is 3 x 1 x 94 x 29 = 8178
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 3,94,87 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3,94,87) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(3,94,87) x common factors =1 x 3 = 3
LCM(3,94,87) = ( 3 × 94 × 87 ) / 3
LCM(3,94,87) = 24534 / 3
LCM(3,94,87) = 8178
Lets's calculate GCF of 160,834,478
2 | 160, 834, 478 |
80, 417, 239 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8178/2
Therefore the LCM of Fractions 3/160,94/834,87/478 is 4089
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
Factors of 834
List of positive integer factors of 834 that divides 834 without a remainder.
1,2,3,6,139,278,417,834
Factors of 478
List of positive integer factors of 478 that divides 478 without a remainder.
1,2,239,478
Greatest Common Factor
We found the factors 160,834,478 . The biggest common factor number is the GCF number.
So the greatest common factor 160,834,478 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 3/160, 94/834, 87/478?
Answer: LCM of Numerators as per given numbers 3/160, 94/834, 87/478 is
LCM of Numerators i.e. for 3,94,87 is 8178
GCF of denominators i.e. for 160,834,478 is 2.
Thus, LCM of Fractions is 4089.Finally, LCM of Fractions for 3/160, 94/834, 87/478 is 4089.