LCM of 886, 436, 714, 944, 144
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 886, 436, 714, 944, 144 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 886, 436, 714, 944, 144. So, keep reading to learn more.
Given numbers are 886,436,714,944,144
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 886,436,714,944,144 is 48819315888.
Find LCM of 886,436,714,944,144 with Prime Factorization
| 2 | 886, 436, 714, 944, 144 |
| 2 | 443, 218, 357, 472, 72 |
| 2 | 443, 109, 357, 236, 36 |
| 2 | 443, 109, 357, 118, 18 |
| 3 | 443, 109, 357, 59, 9 |
| 443, 109, 119, 59, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 443 x 109 x 119 x 59 x 3 = 48819315888
Therefore, the lowest common multiple of 886,436,714,944,144 is 48819315888.
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.
886 x 436 x 714 x 944 x 144 = 37493234601984
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.
886 : 1, 2, 443, 886
436 : 1, 2, 4, 109, 218, 436
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 886,436,714,944,144, is 2.
Now, the common factors can be found like this.
886:2x 443
436:2x 2x 109
714:2x 3x 7x 17
944:2x 2x 2x 2x 59
144:2x 2x 2x 2x 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 2x 2x 2x 2x 3 = 384
Therefore, the value for common factors is 384.
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 = 37493234601984/(2x384)
LCM = 37493234601984/768
LCM = 48819315888
Thus, we can understand that the LCM of 886,436,714,944,144 is 48819315888.
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FAQs on LCM of 886, 436, 714, 944, 144
1. What is the LCM of 886, 436, 714, 944, 144?
Answer: LCM of 886, 436, 714, 944, 144 is 48819315888.
2. How to calculate the LCM of 886, 436, 714, 944, 144?
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 886, 436, 714, 944, 144.
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}.