Find the LCM of 558, 403, 980, 286, 633 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, 403, 980, 286, 633. So, keep reading to learn more.
Given numbers are 558,403,980,286,633
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 558,403,980,286,633 is 8249901660.
Find LCM of 558,403,980,286,633 with Prime Factorization
2 | 558, 403, 980, 286, 633 |
3 | 279, 403, 490, 143, 633 |
13 | 93, 403, 490, 143, 211 |
31 | 93, 31, 490, 11, 211 |
3, 1, 490, 11, 211 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 31 x 3 x 1 x 490 x 11 x 211 = 8249901660
Therefore, the lowest common multiple of 558,403,980,286,633 is 8249901660.
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 403 x 980 x 286 x 633 = 39896524427760
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
403 : 1, 13, 31, 403
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
286 : 1, 2, 11, 13, 22, 26, 143, 286
633 : 1, 3, 211, 633
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 558,403,980,286,633, is 1.
Now, the common factors can be found like this.
558:2x 3x 3x 31
403:13x 31
980:2x 2x 5x 7x 7
286:2x 11x 13
633:3x 211
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 13x 31 = 4836
Therefore, the value for common factors is 4836.
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 = 39896524427760/(1x4836)
LCM = 39896524427760/4836
LCM = 8249901660
Thus, we can understand that the LCM of 558,403,980,286,633 is 8249901660.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 558, 403, 980, 286, 633?
Answer: LCM of 558, 403, 980, 286, 633 is 8249901660.
2. How to calculate the LCM of 558, 403, 980, 286, 633?
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, 403, 980, 286, 633.
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}.