LCM of 473, 328, 454, 387, 820
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 473, 328, 454, 387, 820 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 473, 328, 454, 387, 820. So, keep reading to learn more.
Given numbers are 473,328,454,387,820
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 473,328,454,387,820 is 1584795960.
Find LCM of 473,328,454,387,820 with Prime Factorization
| 2 | 473, 328, 454, 387, 820 |
| 2 | 473, 164, 227, 387, 410 |
| 41 | 473, 82, 227, 387, 205 |
| 43 | 473, 2, 227, 387, 5 |
| 11, 2, 227, 9, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 41 x 43 x 11 x 2 x 227 x 9 x 5 = 1584795960
Therefore, the lowest common multiple of 473,328,454,387,820 is 1584795960.
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.
473 x 328 x 454 x 387 x 820 = 22351962219840
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.
473 : 1, 11, 43, 473
328 : 1, 2, 4, 8, 41, 82, 164, 328
454 : 1, 2, 227, 454
387 : 1, 3, 9, 43, 129, 387
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,328,454,387,820, is 1.
Now, the common factors can be found like this.
473:11x 43
328:2x 2x 2x 41
454:2x 227
387:3x 3x 43
820:2x 2x 5x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 41x 43 = 14104
Therefore, the value for common factors is 14104.
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 = 22351962219840/(1x14104)
LCM = 22351962219840/14104
LCM = 1584795960
Thus, we can understand that the LCM of 473,328,454,387,820 is 1584795960.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 473, 328, 454, 387, 820
1. What is the LCM of 473, 328, 454, 387, 820?
Answer: LCM of 473, 328, 454, 387, 820 is 1584795960.
2. How to calculate the LCM of 473, 328, 454, 387, 820?
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 473, 328, 454, 387, 820.
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}.