LCM of 309, 618, 268, 216
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 309, 618, 268, 216 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 309, 618, 268, 216. So, keep reading to learn more.
Given numbers are 309,618,268,216
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 309,618,268,216 is 1490616.
Find LCM of 309,618,268,216 with Prime Factorization
| 2 | 309, 618, 268, 216 |
| 2 | 309, 309, 134, 108 |
| 3 | 309, 309, 67, 54 |
| 103 | 103, 103, 67, 18 |
| 1, 1, 67, 18 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 103 x 1 x 1 x 67 x 18 = 1490616
Therefore, the lowest common multiple of 309,618,268,216 is 1490616.
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.
309 x 618 x 268 x 216 = 11054408256
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.
309 : 1, 3, 103, 309
618 : 1, 2, 3, 6, 103, 206, 309, 618
268 : 1, 2, 4, 67, 134, 268
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,618,268,216, is 1.
Now, the common factors can be found like this.
309:3x 103
618:2x 3x 103
268:2x 2x 67
216:2x 2x 2x 3x 3x 3
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 3x 103 = 7416
Therefore, the value for common factors is 7416.
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 = 11054408256/(1x7416)
LCM = 11054408256/7416
LCM = 1490616
Thus, we can understand that the LCM of 309,618,268,216 is 1490616.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 309, 618, 268, 216
1. What is the LCM of 309, 618, 268, 216?
Answer: LCM of 309, 618, 268, 216 is 1490616.
2. How to calculate the LCM of 309, 618, 268, 216?
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 309, 618, 268, 216.
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}.