LCM of 814, 370, 768, 432
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 814, 370, 768, 432 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 814, 370, 768, 432. So, keep reading to learn more.
Given numbers are 814,370,768,432
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,370,768,432 is 14065920.
Find LCM of 814,370,768,432 with Prime Factorization
| 2 | 814, 370, 768, 432 |
| 2 | 407, 185, 384, 216 |
| 2 | 407, 185, 192, 108 |
| 2 | 407, 185, 96, 54 |
| 3 | 407, 185, 48, 27 |
| 37 | 407, 185, 16, 9 |
| 11, 5, 16, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 37 x 11 x 5 x 16 x 9 = 14065920
Therefore, the lowest common multiple of 814,370,768,432 is 14065920.
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.
814 x 370 x 768 x 432 = 99924295680
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.
814 : 1, 2, 11, 22, 37, 74, 407, 814
370 : 1, 2, 5, 10, 37, 74, 185, 370
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,370,768,432, is 2.
Now, the common factors can be found like this.
814:2x 11x 37
370:2x 5x 37
768:2x 2x 2x 2x 2x 2x 2x 2x 3
432:2x 2x 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 2x 3x 37 = 3552
Therefore, the value for common factors is 3552.
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 = 99924295680/(2x3552)
LCM = 99924295680/7104
LCM = 14065920
Thus, we can understand that the LCM of 814,370,768,432 is 14065920.
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FAQs on LCM of 814, 370, 768, 432
1. What is the LCM of 814, 370, 768, 432?
Answer: LCM of 814, 370, 768, 432 is 14065920.
2. How to calculate the LCM of 814, 370, 768, 432?
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 814, 370, 768, 432.
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}.