LCM of 807, 368, 682, 299, 416
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 807, 368, 682, 299, 416 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 807, 368, 682, 299, 416. So, keep reading to learn more.
Given numbers are 807,368,682,299,416
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 807,368,682,299,416 is 2632989216.
Find LCM of 807,368,682,299,416 with Prime Factorization
| 2 | 807, 368, 682, 299, 416 |
| 2 | 807, 184, 341, 299, 208 |
| 2 | 807, 92, 341, 299, 104 |
| 2 | 807, 46, 341, 299, 52 |
| 13 | 807, 23, 341, 299, 26 |
| 23 | 807, 23, 341, 23, 2 |
| 807, 1, 341, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 13 x 23 x 807 x 1 x 341 x 1 x 2 = 2632989216
Therefore, the lowest common multiple of 807,368,682,299,416 is 2632989216.
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.
807 x 368 x 682 x 299 x 416 = 25192440818688
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.
807 : 1, 3, 269, 807
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
682 : 1, 2, 11, 22, 31, 62, 341, 682
299 : 1, 13, 23, 299
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 807,368,682,299,416, is 1.
Now, the common factors can be found like this.
807:3x 269
368:2x 2x 2x 2x 23
682:2x 11x 31
299:13x 23
416:2x 2x 2x 2x 2x 13
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 13x 23 = 9568
Therefore, the value for common factors is 9568.
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 = 25192440818688/(1x9568)
LCM = 25192440818688/9568
LCM = 2632989216
Thus, we can understand that the LCM of 807,368,682,299,416 is 2632989216.
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FAQs on LCM of 807, 368, 682, 299, 416
1. What is the LCM of 807, 368, 682, 299, 416?
Answer: LCM of 807, 368, 682, 299, 416 is 2632989216.
2. How to calculate the LCM of 807, 368, 682, 299, 416?
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 807, 368, 682, 299, 416.
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}.