LCM of 809, 964, 418, 267, 594
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 809, 964, 418, 267, 594 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 809, 964, 418, 267, 594. So, keep reading to learn more.
Given numbers are 809,964,418,267,594
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 809,964,418,267,594 is 391674783852.
Find LCM of 809,964,418,267,594 with Prime Factorization
| 2 | 809, 964, 418, 267, 594 |
| 3 | 809, 482, 209, 267, 297 |
| 11 | 809, 482, 209, 89, 99 |
| 809, 482, 19, 89, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 809 x 482 x 19 x 89 x 9 = 391674783852
Therefore, the lowest common multiple of 809,964,418,267,594 is 391674783852.
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.
809 x 964 x 418 x 267 x 594 = 51701071468464
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.
809 : 1, 809
964 : 1, 2, 4, 241, 482, 964
418 : 1, 2, 11, 19, 22, 38, 209, 418
267 : 1, 3, 89, 267
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 809,964,418,267,594, is 1.
Now, the common factors can be found like this.
809:809
964:2x 2x 241
418:2x 11x 19
267:3x 89
594:2x 3x 3x 3x 11
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 11 = 132
Therefore, the value for common factors is 132.
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 = 51701071468464/(1x132)
LCM = 51701071468464/132
LCM = 391674783852
Thus, we can understand that the LCM of 809,964,418,267,594 is 391674783852.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 809, 964, 418, 267, 594
1. What is the LCM of 809, 964, 418, 267, 594?
Answer: LCM of 809, 964, 418, 267, 594 is 391674783852.
2. How to calculate the LCM of 809, 964, 418, 267, 594?
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 809, 964, 418, 267, 594.
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}.