LCM of 549, 422, 849, 702, 432
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 549, 422, 849, 702, 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 549, 422, 849, 702, 432. So, keep reading to learn more.
Given numbers are 549,422,849,702,432
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 549,422,849,702,432 is 20456240688.
Find LCM of 549,422,849,702,432 with Prime Factorization
| 2 | 549, 422, 849, 702, 432 |
| 3 | 549, 211, 849, 351, 216 |
| 3 | 183, 211, 283, 117, 72 |
| 3 | 61, 211, 283, 39, 24 |
| 61, 211, 283, 13, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 61 x 211 x 283 x 13 x 8 = 20456240688
Therefore, the lowest common multiple of 549,422,849,702,432 is 20456240688.
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.
549 x 422 x 849 x 702 x 432 = 59650397846208
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.
549 : 1, 3, 9, 61, 183, 549
422 : 1, 2, 211, 422
849 : 1, 3, 283, 849
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
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 549,422,849,702,432, is 1.
Now, the common factors can be found like this.
549:3x 3x 61
422:2x 211
849:3x 283
702:2x 3x 3x 3x 13
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 3x 3x 3x 3x 3x 3 = 2916
Therefore, the value for common factors is 2916.
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 = 59650397846208/(1x2916)
LCM = 59650397846208/2916
LCM = 20456240688
Thus, we can understand that the LCM of 549,422,849,702,432 is 20456240688.
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FAQs on LCM of 549, 422, 849, 702, 432
1. What is the LCM of 549, 422, 849, 702, 432?
Answer: LCM of 549, 422, 849, 702, 432 is 20456240688.
2. How to calculate the LCM of 549, 422, 849, 702, 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 549, 422, 849, 702, 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}.