Find the LCM of 558, 397, 132, 598, 286 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, 397, 132, 598, 286. So, keep reading to learn more.
Given numbers are 558,397,132,598,286
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 558,397,132,598,286 is 1457198028.
Find LCM of 558,397,132,598,286 with Prime Factorization
2 | 558, 397, 132, 598, 286 |
3 | 279, 397, 66, 299, 143 |
11 | 93, 397, 22, 299, 143 |
13 | 93, 397, 2, 299, 13 |
93, 397, 2, 23, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 93 x 397 x 2 x 23 x 1 = 1457198028
Therefore, the lowest common multiple of 558,397,132,598,286 is 1457198028.
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 397 x 132 x 598 x 286 = 5001103632096
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
397 : 1, 397
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
598 : 1, 2, 13, 23, 26, 46, 299, 598
286 : 1, 2, 11, 13, 22, 26, 143, 286
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 558,397,132,598,286, is 1.
Now, the common factors can be found like this.
558:2x 3x 3x 31
397:397
132:2x 2x 3x 11
598:2x 13x 23
286:2x 11x 13
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 11x 13 = 3432
Therefore, the value for common factors is 3432.
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 = 5001103632096/(1x3432)
LCM = 5001103632096/3432
LCM = 1457198028
Thus, we can understand that the LCM of 558,397,132,598,286 is 1457198028.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 558, 397, 132, 598, 286?
Answer: LCM of 558, 397, 132, 598, 286 is 1457198028.
2. How to calculate the LCM of 558, 397, 132, 598, 286?
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, 397, 132, 598, 286.
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}.