Find the LCM of 312, 316, 489, 616 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 312, 316, 489, 616. So, keep reading to learn more.
Given numbers are 312,316,489,616
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 312,316,489,616 is 309357048.
Find LCM of 312,316,489,616 with Prime Factorization
2 | 312, 316, 489, 616 |
2 | 156, 158, 489, 308 |
2 | 78, 79, 489, 154 |
3 | 39, 79, 489, 77 |
13, 79, 163, 77 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 79 x 163 x 77 = 309357048
Therefore, the lowest common multiple of 312,316,489,616 is 309357048.
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.
312 x 316 x 489 x 616 = 29698276608
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.
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
316 : 1, 2, 4, 79, 158, 316
489 : 1, 3, 163, 489
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,316,489,616, is 1.
Now, the common factors can be found like this.
312:2x 2x 2x 3x 13
316:2x 2x 79
489:3x 163
616:2x 2x 2x 7x 11
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 2x 2x 3 = 96
Therefore, the value for common factors is 96.
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 = 29698276608/(1x96)
LCM = 29698276608/96
LCM = 309357048
Thus, we can understand that the LCM of 312,316,489,616 is 309357048.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 312, 316, 489, 616?
Answer: LCM of 312, 316, 489, 616 is 309357048.
2. How to calculate the LCM of 312, 316, 489, 616?
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 312, 316, 489, 616.
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}.