LCM of 633, 359, 407, 309, 432
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 633, 359, 407, 309, 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 633, 359, 407, 309, 432. So, keep reading to learn more.
Given numbers are 633,359,407,309,432
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 633,359,407,309,432 is 1371804694128.
Find LCM of 633,359,407,309,432 with Prime Factorization
| 3 | 633, 359, 407, 309, 432 |
| 211, 359, 407, 103, 144 |
Multiply the prime numbers at the bottom and the left side.
3 x 211 x 359 x 407 x 103 x 144 = 1371804694128
Therefore, the lowest common multiple of 633,359,407,309,432 is 1371804694128.
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.
633 x 359 x 407 x 309 x 432 = 12346242247152
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.
633 : 1, 3, 211, 633
359 : 1, 359
407 : 1, 11, 37, 407
309 : 1, 3, 103, 309
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 633,359,407,309,432, is 1.
Now, the common factors can be found like this.
633:3x 211
359:359
407:11x 37
309:3x 103
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.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 12346242247152/(1x9)
LCM = 12346242247152/9
LCM = 1371804694128
Thus, we can understand that the LCM of 633,359,407,309,432 is 1371804694128.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 633, 359, 407, 309, 432
1. What is the LCM of 633, 359, 407, 309, 432?
Answer: LCM of 633, 359, 407, 309, 432 is 1371804694128.
2. How to calculate the LCM of 633, 359, 407, 309, 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 633, 359, 407, 309, 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}.