LCM of 319, 216, 968, 270
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 319, 216, 968, 270 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 319, 216, 968, 270. So, keep reading to learn more.
Given numbers are 319,216,968,270
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,216,968,270 is 3789720.
Find LCM of 319,216,968,270 with Prime Factorization
| 2 | 319, 216, 968, 270 |
| 2 | 319, 108, 484, 135 |
| 2 | 319, 54, 242, 135 |
| 3 | 319, 27, 121, 135 |
| 3 | 319, 9, 121, 45 |
| 3 | 319, 3, 121, 15 |
| 11 | 319, 1, 121, 5 |
| 29, 1, 11, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 3 x 11 x 29 x 1 x 11 x 5 = 3789720
Therefore, the lowest common multiple of 319,216,968,270 is 3789720.
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.
319 x 216 x 968 x 270 = 18008749440
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.
319 : 1, 11, 29, 319
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,216,968,270, is 1.
Now, the common factors can be found like this.
319:11x 29
216:2x 2x 2x 3x 3x 3
968:2x 2x 2x 11x 11
270:2x 3x 3x 3x 5
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 3x 3x 3x 11 = 4752
Therefore, the value for common factors is 4752.
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 = 18008749440/(1x4752)
LCM = 18008749440/4752
LCM = 3789720
Thus, we can understand that the LCM of 319,216,968,270 is 3789720.
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FAQs on LCM of 319, 216, 968, 270
1. What is the LCM of 319, 216, 968, 270?
Answer: LCM of 319, 216, 968, 270 is 3789720.
2. How to calculate the LCM of 319, 216, 968, 270?
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 319, 216, 968, 270.
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}.