LCM of 432, 675, 812, 319
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 432, 675, 812, 319 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 432, 675, 812, 319. So, keep reading to learn more.
Given numbers are 432,675,812,319
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 432,675,812,319 is 24116400.
Find LCM of 432,675,812,319 with Prime Factorization
| 2 | 432, 675, 812, 319 |
| 2 | 216, 675, 406, 319 |
| 3 | 108, 675, 203, 319 |
| 3 | 36, 225, 203, 319 |
| 3 | 12, 75, 203, 319 |
| 29 | 4, 25, 203, 319 |
| 4, 25, 7, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 29 x 4 x 25 x 7 x 11 = 24116400
Therefore, the lowest common multiple of 432,675,812,319 is 24116400.
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.
432 x 675 x 812 x 319 = 75532564800
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.
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
319 : 1, 11, 29, 319
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,675,812,319, is 1.
Now, the common factors can be found like this.
432:2x 2x 2x 2x 3x 3x 3
675:3x 3x 3x 5x 5
812:2x 2x 7x 29
319:11x 29
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 3x 3x 29 = 3132
Therefore, the value for common factors is 3132.
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 = 75532564800/(1x3132)
LCM = 75532564800/3132
LCM = 24116400
Thus, we can understand that the LCM of 432,675,812,319 is 24116400.
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FAQs on LCM of 432, 675, 812, 319
1. What is the LCM of 432, 675, 812, 319?
Answer: LCM of 432, 675, 812, 319 is 24116400.
2. How to calculate the LCM of 432, 675, 812, 319?
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 432, 675, 812, 319.
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}.