LCM of 473, 621, 360, 729
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 473, 621, 360, 729 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, 621, 360, 729. So, keep reading to learn more.
Given numbers are 473,621,360,729
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 473,621,360,729 is 317231640.
Find LCM of 473,621,360,729 with Prime Factorization
| 3 | 473, 621, 360, 729 |
| 3 | 473, 207, 120, 243 |
| 3 | 473, 69, 40, 81 |
| 473, 23, 40, 27 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 473 x 23 x 40 x 27 = 317231640
Therefore, the lowest common multiple of 473,621,360,729 is 317231640.
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 621 x 360 x 729 = 77087288520
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
621 : 1, 3, 9, 23, 27, 69, 207, 621
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
729 : 1, 3, 9, 27, 81, 243, 729
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,621,360,729, is 1.
Now, the common factors can be found like this.
473:11x 43
621:3x 3x 3x 23
360:2x 2x 2x 3x 3x 5
729:3x 3x 3x 3x 3x 3
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 3x 3x 3 = 243
Therefore, the value for common factors is 243.
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 = 77087288520/(1x243)
LCM = 77087288520/243
LCM = 317231640
Thus, we can understand that the LCM of 473,621,360,729 is 317231640.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 473, 621, 360, 729
1. What is the LCM of 473, 621, 360, 729?
Answer: LCM of 473, 621, 360, 729 is 317231640.
2. How to calculate the LCM of 473, 621, 360, 729?
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, 621, 360, 729.
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}.