LCM of 699, 543, 878, 636, 432
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 699, 543, 878, 636, 432 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 699, 543, 878, 636, 432. So, keep reading to learn more.
Given numbers are 699,543,878,636,432
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 699,543,878,636,432 is 423895330512.
Find LCM of 699,543,878,636,432 with Prime Factorization
| 2 | 699, 543, 878, 636, 432 |
| 2 | 699, 543, 439, 318, 216 |
| 3 | 699, 543, 439, 159, 108 |
| 233, 181, 439, 53, 36 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 233 x 181 x 439 x 53 x 36 = 423895330512
Therefore, the lowest common multiple of 699,543,878,636,432 is 423895330512.
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.
699 x 543 x 878 x 636 x 432 = 91561391390592
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.
699 : 1, 3, 233, 699
543 : 1, 3, 181, 543
878 : 1, 2, 439, 878
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 699,543,878,636,432, is 1.
Now, the common factors can be found like this.
699:3x 233
543:3x 181
878:2x 439
636:2x 2x 3x 53
432:2x 2x 2x 2x 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.
2x 2x 2x 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 91561391390592/(1x216)
LCM = 91561391390592/216
LCM = 423895330512
Thus, we can understand that the LCM of 699,543,878,636,432 is 423895330512.
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FAQs on LCM of 699, 543, 878, 636, 432
1. What is the LCM of 699, 543, 878, 636, 432?
Answer: LCM of 699, 543, 878, 636, 432 is 423895330512.
2. How to calculate the LCM of 699, 543, 878, 636, 432?
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 699, 543, 878, 636, 432.
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}.