LCM of 434, 450, 843, 402, 558
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 434, 450, 843, 402, 558 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 434, 450, 843, 402, 558. So, keep reading to learn more.
Given numbers are 434,450,843,402,558
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 434,450,843,402,558 is 1838456550.
Find LCM of 434,450,843,402,558 with Prime Factorization
| 2 | 434, 450, 843, 402, 558 |
| 3 | 217, 225, 843, 201, 279 |
| 3 | 217, 75, 281, 67, 93 |
| 31 | 217, 25, 281, 67, 31 |
| 7, 25, 281, 67, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 31 x 7 x 25 x 281 x 67 x 1 = 1838456550
Therefore, the lowest common multiple of 434,450,843,402,558 is 1838456550.
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.
434 x 450 x 843 x 402 x 558 = 36930915176400
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.
434 : 1, 2, 7, 14, 31, 62, 217, 434
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
843 : 1, 3, 281, 843
402 : 1, 2, 3, 6, 67, 134, 201, 402
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 434,450,843,402,558, is 1.
Now, the common factors can be found like this.
434:2x 7x 31
450:2x 3x 3x 5x 5
843:3x 281
402:2x 3x 67
558:2x 3x 3x 31
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 3x 3x 3x 3x 31 = 20088
Therefore, the value for common factors is 20088.
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 = 36930915176400/(1x20088)
LCM = 36930915176400/20088
LCM = 1838456550
Thus, we can understand that the LCM of 434,450,843,402,558 is 1838456550.
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FAQs on LCM of 434, 450, 843, 402, 558
1. What is the LCM of 434, 450, 843, 402, 558?
Answer: LCM of 434, 450, 843, 402, 558 is 1838456550.
2. How to calculate the LCM of 434, 450, 843, 402, 558?
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 434, 450, 843, 402, 558.
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}.