Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 71/623, 322/216, 254/410 quickly i.e. 2903474 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 71/623, 322/216, 254/410 is 2903474.
LCM(71/623, 322/216, 254/410) = 2903474
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 71/623,322/216,254/410
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 71,322,254
Least Common Multiple of Numerators i.e. LCM of 71,322,254 is 2903474.
GCF of Denominators means GCF of 623,216,410 as per the given fractions.
GCF of 623,216,410 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 71,322,254
2 | 71, 322, 254 |
71, 161, 127 |
∴ So the LCM of the given numbers is 2 x 71 x 161 x 127 = 2903474
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 71,322,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,322,254) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(71,322,254) x common factors =1 x 2 = 2
LCM(71,322,254) = ( 71 × 322 × 254 ) / 2
LCM(71,322,254) = 5806948 / 2
LCM(71,322,254) = 2903474
Lets's calculate GCF of 623,216,410
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2903474/1
Therefore the LCM of Fractions 71/623,322/216,254/410 is 2903474
Factors of 623
List of positive integer factors of 623 that divides 623 without a remainder.
1,7,89,623
Factors of 216
List of positive integer factors of 216 that divides 216 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216
Factors of 410
List of positive integer factors of 410 that divides 410 without a remainder.
1,2,5,10,41,82,205,410
Greatest Common Factor
We found the factors 623,216,410 . The biggest common factor number is the GCF number.
So the greatest common factor 623,216,410 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 71/623, 322/216, 254/410?
Answer: LCM of Numerators as per given numbers 71/623, 322/216, 254/410 is
LCM of Numerators i.e. for 71,322,254 is 2903474
GCF of denominators i.e. for 623,216,410 is 1.
Thus, LCM of Fractions is 2903474.Finally, LCM of Fractions for 71/623, 322/216, 254/410 is 2903474.