LCM of 923, 416, 582, 106, 710
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 923, 416, 582, 106, 710 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 923, 416, 582, 106, 710. So, keep reading to learn more.
Given numbers are 923,416,582,106,710
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 923,416,582,106,710 is 2277668640.
Find LCM of 923,416,582,106,710 with Prime Factorization
| 2 | 923, 416, 582, 106, 710 |
| 13 | 923, 208, 291, 53, 355 |
| 71 | 71, 16, 291, 53, 355 |
| 1, 16, 291, 53, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 71 x 1 x 16 x 291 x 53 x 5 = 2277668640
Therefore, the lowest common multiple of 923,416,582,106,710 is 2277668640.
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.
923 x 416 x 582 x 106 x 710 = 16818305237760
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.
923 : 1, 13, 71, 923
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
582 : 1, 2, 3, 6, 97, 194, 291, 582
106 : 1, 2, 53, 106
710 : 1, 2, 5, 10, 71, 142, 355, 710
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 923,416,582,106,710, is 1.
Now, the common factors can be found like this.
923:13x 71
416:2x 2x 2x 2x 2x 13
582:2x 3x 97
106:2x 53
710:2x 5x 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 13x 71 = 7384
Therefore, the value for common factors is 7384.
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 = 16818305237760/(1x7384)
LCM = 16818305237760/7384
LCM = 2277668640
Thus, we can understand that the LCM of 923,416,582,106,710 is 2277668640.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 923, 416, 582, 106, 710
1. What is the LCM of 923, 416, 582, 106, 710?
Answer: LCM of 923, 416, 582, 106, 710 is 2277668640.
2. How to calculate the LCM of 923, 416, 582, 106, 710?
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 923, 416, 582, 106, 710.
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}.