LCM of 438, 814, 594, 851, 389
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 438, 814, 594, 851, 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 438, 814, 594, 851, 389. So, keep reading to learn more.
Given numbers are 438,814,594,851,389
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 438,814,594,851,389 is 14354513118.
Find LCM of 438,814,594,851,389 with Prime Factorization
| 2 | 438, 814, 594, 851, 389 |
| 3 | 219, 407, 297, 851, 389 |
| 11 | 73, 407, 99, 851, 389 |
| 37 | 73, 37, 9, 851, 389 |
| 73, 1, 9, 23, 389 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 37 x 73 x 1 x 9 x 23 x 389 = 14354513118
Therefore, the lowest common multiple of 438,814,594,851,389 is 14354513118.
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.
438 x 814 x 594 x 851 x 389 = 70107442068312
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.
438 : 1, 2, 3, 6, 73, 146, 219, 438
814 : 1, 2, 11, 22, 37, 74, 407, 814
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
851 : 1, 23, 37, 851
389 : 1, 389
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,814,594,851,389, is 1.
Now, the common factors can be found like this.
438:2x 3x 73
814:2x 11x 37
594:2x 3x 3x 3x 11
851:23x 37
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 37 = 4884
Therefore, the value for common factors is 4884.
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 = 70107442068312/(1x4884)
LCM = 70107442068312/4884
LCM = 14354513118
Thus, we can understand that the LCM of 438,814,594,851,389 is 14354513118.
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FAQs on LCM of 438, 814, 594, 851, 389
1. What is the LCM of 438, 814, 594, 851, 389?
Answer: LCM of 438, 814, 594, 851, 389 is 14354513118.
2. How to calculate the LCM of 438, 814, 594, 851, 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 438, 814, 594, 851, 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}.