LCM of 216, 647, 395, 316
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 216, 647, 395, 316 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 216, 647, 395, 316. So, keep reading to learn more.
Given numbers are 216,647,395,316
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 216,647,395,316 is 55202040.
Find LCM of 216,647,395,316 with Prime Factorization
| 2 | 216, 647, 395, 316 |
| 2 | 108, 647, 395, 158 |
| 79 | 54, 647, 395, 79 |
| 54, 647, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 79 x 54 x 647 x 5 x 1 = 55202040
Therefore, the lowest common multiple of 216,647,395,316 is 55202040.
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.
216 x 647 x 395 x 316 = 17443844640
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.
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
647 : 1, 647
395 : 1, 5, 79, 395
316 : 1, 2, 4, 79, 158, 316
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 216,647,395,316, is 1.
Now, the common factors can be found like this.
216:2x 2x 2x 3x 3x 3
647:647
395:5x 79
316:2x 2x 79
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 79 = 316
Therefore, the value for common factors is 316.
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 = 17443844640/(1x316)
LCM = 17443844640/316
LCM = 55202040
Thus, we can understand that the LCM of 216,647,395,316 is 55202040.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 216, 647, 395, 316
1. What is the LCM of 216, 647, 395, 316?
Answer: LCM of 216, 647, 395, 316 is 55202040.
2. How to calculate the LCM of 216, 647, 395, 316?
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 216, 647, 395, 316.
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}.