LCM of 347, 216, 854, 954, 872
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 347, 216, 854, 954, 872 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 347, 216, 854, 954, 872. So, keep reading to learn more.
Given numbers are 347,216,854,954,872
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 347,216,854,954,872 is 184890019608.
Find LCM of 347,216,854,954,872 with Prime Factorization
| 2 | 347, 216, 854, 954, 872 |
| 2 | 347, 108, 427, 477, 436 |
| 2 | 347, 54, 427, 477, 218 |
| 3 | 347, 27, 427, 477, 109 |
| 3 | 347, 9, 427, 159, 109 |
| 347, 3, 427, 53, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 347 x 3 x 427 x 53 x 109 = 184890019608
Therefore, the lowest common multiple of 347,216,854,954,872 is 184890019608.
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.
347 x 216 x 854 x 954 x 872 = 53248325647104
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.
347 : 1, 347
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
854 : 1, 2, 7, 14, 61, 122, 427, 854
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
872 : 1, 2, 4, 8, 109, 218, 436, 872
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,216,854,954,872, is 1.
Now, the common factors can be found like this.
347:347
216:2x 2x 2x 3x 3x 3
854:2x 7x 61
954:2x 3x 3x 53
872:2x 2x 2x 109
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 2x 2x 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 53248325647104/(1x288)
LCM = 53248325647104/288
LCM = 184890019608
Thus, we can understand that the LCM of 347,216,854,954,872 is 184890019608.
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FAQs on LCM of 347, 216, 854, 954, 872
1. What is the LCM of 347, 216, 854, 954, 872?
Answer: LCM of 347, 216, 854, 954, 872 is 184890019608.
2. How to calculate the LCM of 347, 216, 854, 954, 872?
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 347, 216, 854, 954, 872.
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}.