LCM of 781, 731, 218, 424, 432
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 781, 731, 218, 424, 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 781, 731, 218, 424, 432. So, keep reading to learn more.
Given numbers are 781,731,218,424,432
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 781,731,218,424,432 is 1424802029904.
Find LCM of 781,731,218,424,432 with Prime Factorization
| 2 | 781, 731, 218, 424, 432 |
| 2 | 781, 731, 109, 212, 216 |
| 2 | 781, 731, 109, 106, 108 |
| 781, 731, 109, 53, 54 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 781 x 731 x 109 x 53 x 54 = 1424802029904
Therefore, the lowest common multiple of 781,731,218,424,432 is 1424802029904.
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.
781 x 731 x 218 x 424 x 432 = 22796832478464
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.
781 : 1, 11, 71, 781
731 : 1, 17, 43, 731
218 : 1, 2, 109, 218
424 : 1, 2, 4, 8, 53, 106, 212, 424
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 781,731,218,424,432, is 1.
Now, the common factors can be found like this.
781:11x 71
731:17x 43
218:2x 109
424:2x 2x 2x 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 2 = 16
Therefore, the value for common factors is 16.
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 = 22796832478464/(1x16)
LCM = 22796832478464/16
LCM = 1424802029904
Thus, we can understand that the LCM of 781,731,218,424,432 is 1424802029904.
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FAQs on LCM of 781, 731, 218, 424, 432
1. What is the LCM of 781, 731, 218, 424, 432?
Answer: LCM of 781, 731, 218, 424, 432 is 1424802029904.
2. How to calculate the LCM of 781, 731, 218, 424, 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 781, 731, 218, 424, 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}.