LCM of 960, 476, 560, 493, 296
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 960, 476, 560, 493, 296 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 960, 476, 560, 493, 296. So, keep reading to learn more.
Given numbers are 960,476,560,493,296
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 960,476,560,493,296 is 122579520.
Find LCM of 960,476,560,493,296 with Prime Factorization
| 2 | 960, 476, 560, 493, 296 |
| 2 | 480, 238, 280, 493, 148 |
| 2 | 240, 119, 140, 493, 74 |
| 2 | 120, 119, 70, 493, 37 |
| 5 | 60, 119, 35, 493, 37 |
| 7 | 12, 119, 7, 493, 37 |
| 17 | 12, 17, 1, 493, 37 |
| 12, 1, 1, 29, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 7 x 17 x 12 x 1 x 1 x 29 x 37 = 122579520
Therefore, the lowest common multiple of 960,476,560,493,296 is 122579520.
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.
960 x 476 x 560 x 493 x 296 = 37342624972800
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.
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
493 : 1, 17, 29, 493
296 : 1, 2, 4, 8, 37, 74, 148, 296
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,476,560,493,296, is 1.
Now, the common factors can be found like this.
960:2x 2x 2x 2x 2x 2x 3x 5
476:2x 2x 7x 17
560:2x 2x 2x 2x 5x 7
493:17x 29
296:2x 2x 2x 37
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 5x 7x 17 = 304640
Therefore, the value for common factors is 304640.
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 = 37342624972800/(1x304640)
LCM = 37342624972800/304640
LCM = 122579520
Thus, we can understand that the LCM of 960,476,560,493,296 is 122579520.
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FAQs on LCM of 960, 476, 560, 493, 296
1. What is the LCM of 960, 476, 560, 493, 296?
Answer: LCM of 960, 476, 560, 493, 296 is 122579520.
2. How to calculate the LCM of 960, 476, 560, 493, 296?
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 960, 476, 560, 493, 296.
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}.