LCM of 258, 742, 324, 407, 473
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 258, 742, 324, 407, 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 258, 742, 324, 407, 473. So, keep reading to learn more.
Given numbers are 258,742,324,407,473
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 258,742,324,407,473 is 2103690204.
Find LCM of 258,742,324,407,473 with Prime Factorization
| 2 | 258, 742, 324, 407, 473 |
| 3 | 129, 371, 162, 407, 473 |
| 11 | 43, 371, 54, 407, 473 |
| 43 | 43, 371, 54, 37, 43 |
| 1, 371, 54, 37, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 43 x 1 x 371 x 54 x 37 x 1 = 2103690204
Therefore, the lowest common multiple of 258,742,324,407,473 is 2103690204.
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.
258 x 742 x 324 x 407 x 473 = 11940545597904
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.
258 : 1, 2, 3, 6, 43, 86, 129, 258
742 : 1, 2, 7, 14, 53, 106, 371, 742
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
407 : 1, 11, 37, 407
473 : 1, 11, 43, 473
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,742,324,407,473, is 1.
Now, the common factors can be found like this.
258:2x 3x 43
742:2x 7x 53
324:2x 2x 3x 3x 3x 3
407:11x 37
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.
2x 2x 3x 11x 43 = 5676
Therefore, the value for common factors is 5676.
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 = 11940545597904/(1x5676)
LCM = 11940545597904/5676
LCM = 2103690204
Thus, we can understand that the LCM of 258,742,324,407,473 is 2103690204.
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FAQs on LCM of 258, 742, 324, 407, 473
1. What is the LCM of 258, 742, 324, 407, 473?
Answer: LCM of 258, 742, 324, 407, 473 is 2103690204.
2. How to calculate the LCM of 258, 742, 324, 407, 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 258, 742, 324, 407, 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}.