Find the LCM of 458, 357, 442, 574 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 458, 357, 442, 574. So, keep reading to learn more.
Given numbers are 458,357,442,574
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 458,357,442,574 is 87148698.
Find LCM of 458,357,442,574 with Prime Factorization
2 | 458, 357, 442, 574 |
7 | 229, 357, 221, 287 |
17 | 229, 51, 221, 41 |
229, 3, 13, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 17 x 229 x 3 x 13 x 41 = 87148698
Therefore, the lowest common multiple of 458,357,442,574 is 87148698.
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.
458 x 357 x 442 x 574 = 41482780248
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.
458 : 1, 2, 229, 458
357 : 1, 3, 7, 17, 21, 51, 119, 357
442 : 1, 2, 13, 17, 26, 34, 221, 442
574 : 1, 2, 7, 14, 41, 82, 287, 574
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 458,357,442,574, is 1.
Now, the common factors can be found like this.
458:2x 229
357:3x 7x 17
442:2x 13x 17
574:2x 7x 41
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 7x 17 = 476
Therefore, the value for common factors is 476.
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 = 41482780248/(1x476)
LCM = 41482780248/476
LCM = 87148698
Thus, we can understand that the LCM of 458,357,442,574 is 87148698.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 458, 357, 442, 574?
Answer: LCM of 458, 357, 442, 574 is 87148698.
2. How to calculate the LCM of 458, 357, 442, 574?
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 458, 357, 442, 574.
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}.