LCM of 432, 661, 687, 812
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 432, 661, 687, 812 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, 661, 687, 812. So, keep reading to learn more.
Given numbers are 432,661,687,812
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 432,661,687,812 is 13274455824.
Find LCM of 432,661,687,812 with Prime Factorization
| 2 | 432, 661, 687, 812 |
| 2 | 216, 661, 687, 406 |
| 3 | 108, 661, 687, 203 |
| 36, 661, 229, 203 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 36 x 661 x 229 x 203 = 13274455824
Therefore, the lowest common multiple of 432,661,687,812 is 13274455824.
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 661 x 687 x 812 = 159293469888
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
661 : 1, 661
687 : 1, 3, 229, 687
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,661,687,812, is 1.
Now, the common factors can be found like this.
432:2x 2x 2x 2x 3x 3x 3
661:661
687:3x 229
812:2x 2x 7x 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 3 = 12
Therefore, the value for common factors is 12.
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 = 159293469888/(1x12)
LCM = 159293469888/12
LCM = 13274455824
Thus, we can understand that the LCM of 432,661,687,812 is 13274455824.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 432, 661, 687, 812
1. What is the LCM of 432, 661, 687, 812?
Answer: LCM of 432, 661, 687, 812 is 13274455824.
2. How to calculate the LCM of 432, 661, 687, 812?
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, 661, 687, 812.
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}.