LCM of 316, 993, 212, 583
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 316, 993, 212, 583 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 316, 993, 212, 583. So, keep reading to learn more.
Given numbers are 316,993,212,583
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 316,993,212,583 is 182938404.
Find LCM of 316,993,212,583 with Prime Factorization
| 2 | 316, 993, 212, 583 |
| 2 | 158, 993, 106, 583 |
| 53 | 79, 993, 53, 583 |
| 79, 993, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 53 x 79 x 993 x 1 x 11 = 182938404
Therefore, the lowest common multiple of 316,993,212,583 is 182938404.
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.
316 x 993 x 212 x 583 = 38782941648
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.
316 : 1, 2, 4, 79, 158, 316
993 : 1, 3, 331, 993
212 : 1, 2, 4, 53, 106, 212
583 : 1, 11, 53, 583
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 316,993,212,583, is 1.
Now, the common factors can be found like this.
316:2x 2x 79
993:3x 331
212:2x 2x 53
583:11x 53
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 53 = 212
Therefore, the value for common factors is 212.
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 = 38782941648/(1x212)
LCM = 38782941648/212
LCM = 182938404
Thus, we can understand that the LCM of 316,993,212,583 is 182938404.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 316, 993, 212, 583
1. What is the LCM of 316, 993, 212, 583?
Answer: LCM of 316, 993, 212, 583 is 182938404.
2. How to calculate the LCM of 316, 993, 212, 583?
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 316, 993, 212, 583.
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}.