LCM of 283, 429, 474, 578
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 283, 429, 474, 578 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 283, 429, 474, 578. So, keep reading to learn more.
Given numbers are 283,429,474,578
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 283,429,474,578 is 5543686434.
Find LCM of 283,429,474,578 with Prime Factorization
| 2 | 283, 429, 474, 578 |
| 3 | 283, 429, 237, 289 |
| 283, 143, 79, 289 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 283 x 143 x 79 x 289 = 5543686434
Therefore, the lowest common multiple of 283,429,474,578 is 5543686434.
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.
283 x 429 x 474 x 578 = 33262118604
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.
283 : 1, 283
429 : 1, 3, 11, 13, 33, 39, 143, 429
474 : 1, 2, 3, 6, 79, 158, 237, 474
578 : 1, 2, 17, 34, 289, 578
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 283,429,474,578, is 1.
Now, the common factors can be found like this.
283:283
429:3x 11x 13
474:2x 3x 79
578:2x 17x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 33262118604/(1x6)
LCM = 33262118604/6
LCM = 5543686434
Thus, we can understand that the LCM of 283,429,474,578 is 5543686434.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 283, 429, 474, 578
1. What is the LCM of 283, 429, 474, 578?
Answer: LCM of 283, 429, 474, 578 is 5543686434.
2. How to calculate the LCM of 283, 429, 474, 578?
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 283, 429, 474, 578.
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}.