LCM of 638, 105, 953, 854, 578
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 638, 105, 953, 854, 578 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 638, 105, 953, 854, 578. So, keep reading to learn more.
Given numbers are 638,105,953,854,578
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 638,105,953,854,578 is 1125461274630.
Find LCM of 638,105,953,854,578 with Prime Factorization
| 2 | 638, 105, 953, 854, 578 |
| 7 | 319, 105, 953, 427, 289 |
| 319, 15, 953, 61, 289 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 319 x 15 x 953 x 61 x 289 = 1125461274630
Therefore, the lowest common multiple of 638,105,953,854,578 is 1125461274630.
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.
638 x 105 x 953 x 854 x 578 = 31512915689640
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.
638 : 1, 2, 11, 22, 29, 58, 319, 638
105 : 1, 3, 5, 7, 15, 21, 35, 105
953 : 1, 953
854 : 1, 2, 7, 14, 61, 122, 427, 854
578 : 1, 2, 17, 34, 289, 578
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,105,953,854,578, is 1.
Now, the common factors can be found like this.
638:2x 11x 29
105:3x 5x 7
953:953
854:2x 7x 61
578:2x 17x 17
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 7 = 28
Therefore, the value for common factors is 28.
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 = 31512915689640/(1x28)
LCM = 31512915689640/28
LCM = 1125461274630
Thus, we can understand that the LCM of 638,105,953,854,578 is 1125461274630.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 638, 105, 953, 854, 578
1. What is the LCM of 638, 105, 953, 854, 578?
Answer: LCM of 638, 105, 953, 854, 578 is 1125461274630.
2. How to calculate the LCM of 638, 105, 953, 854, 578?
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 638, 105, 953, 854, 578.
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}.