Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/469, 947/121, 166/380 quickly i.e. 6288080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/469, 947/121, 166/380 is 6288080.
LCM(80/469, 947/121, 166/380) = 6288080
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/469,947/121,166/380
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 80,947,166
Least Common Multiple of Numerators i.e. LCM of 80,947,166 is 6288080.
GCF of Denominators means GCF of 469,121,380 as per the given fractions.
GCF of 469,121,380 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,947,166
2 | 80, 947, 166 |
40, 947, 83 |
∴ So the LCM of the given numbers is 2 x 40 x 947 x 83 = 6288080
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 80,947,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,947,166) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(80,947,166) x common factors =1 x 2 = 2
LCM(80,947,166) = ( 80 × 947 × 166 ) / 2
LCM(80,947,166) = 12576160 / 2
LCM(80,947,166) = 6288080
Lets's calculate GCF of 469,121,380
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6288080/1
Therefore the LCM of Fractions 80/469,947/121,166/380 is 6288080
Factors of 469
List of positive integer factors of 469 that divides 469 without a remainder.
1,7,67,469
Factors of 121
List of positive integer factors of 121 that divides 121 without a remainder.
1,11,121
Factors of 380
List of positive integer factors of 380 that divides 380 without a remainder.
1,2,4,5,10,19,20,38,76,95,190,380
Greatest Common Factor
We found the factors 469,121,380 . The biggest common factor number is the GCF number.
So the greatest common factor 469,121,380 is 1.
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 80/469, 947/121, 166/380?
Answer: LCM of Numerators as per given numbers 80/469, 947/121, 166/380 is
LCM of Numerators i.e. for 80,947,166 is 6288080
GCF of denominators i.e. for 469,121,380 is 1.
Thus, LCM of Fractions is 6288080.Finally, LCM of Fractions for 80/469, 947/121, 166/380 is 6288080.