LCM of 471, 243, 627, 253, 473
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 471, 243, 627, 253, 473 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 471, 243, 627, 253, 473. So, keep reading to learn more.
Given numbers are 471,243,627,253,473
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 471,243,627,253,473 is 7885849851.
Find LCM of 471,243,627,253,473 with Prime Factorization
| 3 | 471, 243, 627, 253, 473 |
| 11 | 157, 81, 209, 253, 473 |
| 157, 81, 19, 23, 43 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 157 x 81 x 19 x 23 x 43 = 7885849851
Therefore, the lowest common multiple of 471,243,627,253,473 is 7885849851.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
471 x 243 x 627 x 253 x 473 = 8587690487739
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
471 : 1, 3, 157, 471
243 : 1, 3, 9, 27, 81, 243
627 : 1, 3, 11, 19, 33, 57, 209, 627
253 : 1, 11, 23, 253
473 : 1, 11, 43, 473
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,243,627,253,473, is 1.
Now, the common factors can be found like this.
471:3x 157
243:3x 3x 3x 3x 3
627:3x 11x 19
253:11x 23
473:11x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 11x 11 = 1089
Therefore, the value for common factors is 1089.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 8587690487739/(1x1089)
LCM = 8587690487739/1089
LCM = 7885849851
Thus, we can understand that the LCM of 471,243,627,253,473 is 7885849851.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 471, 243, 627, 253, 473
1. What is the LCM of 471, 243, 627, 253, 473?
Answer: LCM of 471, 243, 627, 253, 473 is 7885849851.
2. How to calculate the LCM of 471, 243, 627, 253, 473?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 471, 243, 627, 253, 473.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.