LCM of 558, 829, 144, 406
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 558, 829, 144, 406 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 558, 829, 144, 406. So, keep reading to learn more.
Given numbers are 558,829,144,406
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 558,829,144,406 is 751233168.
Find LCM of 558,829,144,406 with Prime Factorization
| 2 | 558, 829, 144, 406 |
| 3 | 279, 829, 72, 203 |
| 3 | 93, 829, 24, 203 |
| 31, 829, 8, 203 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 31 x 829 x 8 x 203 = 751233168
Therefore, the lowest common multiple of 558,829,144,406 is 751233168.
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.
558 x 829 x 144 x 406 = 27044394048
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.
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
829 : 1, 829
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
406 : 1, 2, 7, 14, 29, 58, 203, 406
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 558,829,144,406, is 1.
Now, the common factors can be found like this.
558:2x 3x 3x 31
829:829
144:2x 2x 2x 2x 3x 3
406:2x 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 3x 3 = 36
Therefore, the value for common factors is 36.
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 = 27044394048/(1x36)
LCM = 27044394048/36
LCM = 751233168
Thus, we can understand that the LCM of 558,829,144,406 is 751233168.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 558, 829, 144, 406
1. What is the LCM of 558, 829, 144, 406?
Answer: LCM of 558, 829, 144, 406 is 751233168.
2. How to calculate the LCM of 558, 829, 144, 406?
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 558, 829, 144, 406.
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}.