Find the LCM of 558, 670, 326, 215, 489 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, 670, 326, 215, 489. So, keep reading to learn more.
Given numbers are 558,670,326,215,489
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 558,670,326,215,489 is 1310192370.
Find LCM of 558,670,326,215,489 with Prime Factorization
2 | 558, 670, 326, 215, 489 |
3 | 279, 335, 163, 215, 489 |
5 | 93, 335, 163, 215, 163 |
163 | 93, 67, 163, 43, 163 |
93, 67, 1, 43, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 163 x 93 x 67 x 1 x 43 x 1 = 1310192370
Therefore, the lowest common multiple of 558,670,326,215,489 is 1310192370.
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 670 x 326 x 215 x 489 = 12813681378600
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
670 : 1, 2, 5, 10, 67, 134, 335, 670
326 : 1, 2, 163, 326
215 : 1, 5, 43, 215
489 : 1, 3, 163, 489
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 558,670,326,215,489, is 1.
Now, the common factors can be found like this.
558:2x 3x 3x 31
670:2x 5x 67
326:2x 163
215:5x 43
489:3x 163
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 5x 163 = 9780
Therefore, the value for common factors is 9780.
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 = 12813681378600/(1x9780)
LCM = 12813681378600/9780
LCM = 1310192370
Thus, we can understand that the LCM of 558,670,326,215,489 is 1310192370.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 558, 670, 326, 215, 489?
Answer: LCM of 558, 670, 326, 215, 489 is 1310192370.
2. How to calculate the LCM of 558, 670, 326, 215, 489?
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, 670, 326, 215, 489.
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}.