LCM of 416, 813, 640, 416, 348
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 416, 813, 640, 416, 348 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 416, 813, 640, 416, 348. So, keep reading to learn more.
Given numbers are 416,813,640,416,348
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 416,813,640,416,348 is 196160640.
Find LCM of 416,813,640,416,348 with Prime Factorization
| 2 | 416, 813, 640, 416, 348 |
| 2 | 208, 813, 320, 208, 174 |
| 2 | 104, 813, 160, 104, 87 |
| 2 | 52, 813, 80, 52, 87 |
| 2 | 26, 813, 40, 26, 87 |
| 3 | 13, 813, 20, 13, 87 |
| 13 | 13, 271, 20, 13, 29 |
| 1, 271, 20, 1, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 13 x 1 x 271 x 20 x 1 x 29 = 196160640
Therefore, the lowest common multiple of 416,813,640,416,348 is 196160640.
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.
416 x 813 x 640 x 416 x 348 = 31335485276160
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.
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
813 : 1, 3, 271, 813
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,813,640,416,348, is 1.
Now, the common factors can be found like this.
416:2x 2x 2x 2x 2x 13
813:3x 271
640:2x 2x 2x 2x 2x 2x 2x 5
416:2x 2x 2x 2x 2x 13
348:2x 2x 3x 29
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 2x 2x 2x 2x 2x 3x 13 = 159744
Therefore, the value for common factors is 159744.
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 = 31335485276160/(1x159744)
LCM = 31335485276160/159744
LCM = 196160640
Thus, we can understand that the LCM of 416,813,640,416,348 is 196160640.
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FAQs on LCM of 416, 813, 640, 416, 348
1. What is the LCM of 416, 813, 640, 416, 348?
Answer: LCM of 416, 813, 640, 416, 348 is 196160640.
2. How to calculate the LCM of 416, 813, 640, 416, 348?
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 416, 813, 640, 416, 348.
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}.