LCM of 638, 493, 294, 312, 832
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 638, 493, 294, 312, 832 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, 493, 294, 312, 832. So, keep reading to learn more.
Given numbers are 638,493,294,312,832
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 638,493,294,312,832 is 663254592.
Find LCM of 638,493,294,312,832 with Prime Factorization
| 2 | 638, 493, 294, 312, 832 |
| 2 | 319, 493, 147, 156, 416 |
| 2 | 319, 493, 147, 78, 208 |
| 3 | 319, 493, 147, 39, 104 |
| 13 | 319, 493, 49, 13, 104 |
| 29 | 319, 493, 49, 1, 8 |
| 11, 17, 49, 1, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 29 x 11 x 17 x 49 x 1 x 8 = 663254592
Therefore, the lowest common multiple of 638,493,294,312,832 is 663254592.
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 493 x 294 x 312 x 832 = 24004510193664
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
493 : 1, 17, 29, 493
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,493,294,312,832, is 1.
Now, the common factors can be found like this.
638:2x 11x 29
493:17x 29
294:2x 3x 7x 7
312:2x 2x 2x 3x 13
832:2x 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 3x 13x 29 = 36192
Therefore, the value for common factors is 36192.
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 = 24004510193664/(1x36192)
LCM = 24004510193664/36192
LCM = 663254592
Thus, we can understand that the LCM of 638,493,294,312,832 is 663254592.
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FAQs on LCM of 638, 493, 294, 312, 832
1. What is the LCM of 638, 493, 294, 312, 832?
Answer: LCM of 638, 493, 294, 312, 832 is 663254592.
2. How to calculate the LCM of 638, 493, 294, 312, 832?
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, 493, 294, 312, 832.
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}.