LCM of 844, 559, 289, 780, 108
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 844, 559, 289, 780, 108 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 844, 559, 289, 780, 108. So, keep reading to learn more.
Given numbers are 844,559,289,780,108
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 844,559,289,780,108 is 18407120940.
Find LCM of 844,559,289,780,108 with Prime Factorization
| 2 | 844, 559, 289, 780, 108 |
| 2 | 422, 559, 289, 390, 54 |
| 3 | 211, 559, 289, 195, 27 |
| 13 | 211, 559, 289, 65, 9 |
| 211, 43, 289, 5, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 211 x 43 x 289 x 5 x 9 = 18407120940
Therefore, the lowest common multiple of 844,559,289,780,108 is 18407120940.
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.
844 x 559 x 289 x 780 x 108 = 11486043466560
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.
844 : 1, 2, 4, 211, 422, 844
559 : 1, 13, 43, 559
289 : 1, 17, 289
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,559,289,780,108, is 1.
Now, the common factors can be found like this.
844:2x 2x 211
559:13x 43
289:17x 17
780:2x 2x 3x 5x 13
108:2x 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 2x 3x 13 = 624
Therefore, the value for common factors is 624.
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 = 11486043466560/(1x624)
LCM = 11486043466560/624
LCM = 18407120940
Thus, we can understand that the LCM of 844,559,289,780,108 is 18407120940.
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FAQs on LCM of 844, 559, 289, 780, 108
1. What is the LCM of 844, 559, 289, 780, 108?
Answer: LCM of 844, 559, 289, 780, 108 is 18407120940.
2. How to calculate the LCM of 844, 559, 289, 780, 108?
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 844, 559, 289, 780, 108.
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}.