LCM of 786, 442, 143, 528, 389
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 786, 442, 143, 528, 389 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 786, 442, 143, 528, 389. So, keep reading to learn more.
Given numbers are 786,442,143,528,389
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 786,442,143,528,389 is 5946303792.
Find LCM of 786,442,143,528,389 with Prime Factorization
| 2 | 786, 442, 143, 528, 389 |
| 3 | 393, 221, 143, 264, 389 |
| 11 | 131, 221, 143, 88, 389 |
| 13 | 131, 221, 13, 8, 389 |
| 131, 17, 1, 8, 389 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 131 x 17 x 1 x 8 x 389 = 5946303792
Therefore, the lowest common multiple of 786,442,143,528,389 is 5946303792.
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.
786 x 442 x 143 x 528 x 389 = 10203857307072
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.
786 : 1, 2, 3, 6, 131, 262, 393, 786
442 : 1, 2, 13, 17, 26, 34, 221, 442
143 : 1, 11, 13, 143
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
389 : 1, 389
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 786,442,143,528,389, is 1.
Now, the common factors can be found like this.
786:2x 3x 131
442:2x 13x 17
143:11x 13
528:2x 2x 2x 2x 3x 11
389:389
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 11x 13 = 1716
Therefore, the value for common factors is 1716.
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 = 10203857307072/(1x1716)
LCM = 10203857307072/1716
LCM = 5946303792
Thus, we can understand that the LCM of 786,442,143,528,389 is 5946303792.
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FAQs on LCM of 786, 442, 143, 528, 389
1. What is the LCM of 786, 442, 143, 528, 389?
Answer: LCM of 786, 442, 143, 528, 389 is 5946303792.
2. How to calculate the LCM of 786, 442, 143, 528, 389?
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 786, 442, 143, 528, 389.
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}.