LCM of 716, 309, 440, 480, 284
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 716, 309, 440, 480, 284 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 716, 309, 440, 480, 284. So, keep reading to learn more.
Given numbers are 716,309,440,480,284
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 716,309,440,480,284 is 6911662560.
Find LCM of 716,309,440,480,284 with Prime Factorization
| 2 | 716, 309, 440, 480, 284 |
| 2 | 358, 309, 220, 240, 142 |
| 2 | 179, 309, 110, 120, 71 |
| 3 | 179, 309, 55, 60, 71 |
| 5 | 179, 103, 55, 20, 71 |
| 179, 103, 11, 4, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 179 x 103 x 11 x 4 x 71 = 6911662560
Therefore, the lowest common multiple of 716,309,440,480,284 is 6911662560.
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.
716 x 309 x 440 x 480 x 284 = 13270392115200
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.
716 : 1, 2, 4, 179, 358, 716
309 : 1, 3, 103, 309
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
284 : 1, 2, 4, 71, 142, 284
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 716,309,440,480,284, is 1.
Now, the common factors can be found like this.
716:2x 2x 179
309:3x 103
440:2x 2x 2x 5x 11
480:2x 2x 2x 2x 2x 3x 5
284:2x 2x 71
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 2x 2x 3x 5 = 1920
Therefore, the value for common factors is 1920.
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 = 13270392115200/(1x1920)
LCM = 13270392115200/1920
LCM = 6911662560
Thus, we can understand that the LCM of 716,309,440,480,284 is 6911662560.
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FAQs on LCM of 716, 309, 440, 480, 284
1. What is the LCM of 716, 309, 440, 480, 284?
Answer: LCM of 716, 309, 440, 480, 284 is 6911662560.
2. How to calculate the LCM of 716, 309, 440, 480, 284?
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 716, 309, 440, 480, 284.
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}.