LCM of 638, 341, 282, 408, 426
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 638, 341, 282, 408, 426 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, 341, 282, 408, 426. So, keep reading to learn more.
Given numbers are 638,341,282,408,426
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 638,341,282,408,426 is 13463833944.
Find LCM of 638,341,282,408,426 with Prime Factorization
| 2 | 638, 341, 282, 408, 426 |
| 3 | 319, 341, 141, 204, 213 |
| 11 | 319, 341, 47, 68, 71 |
| 29, 31, 47, 68, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 29 x 31 x 47 x 68 x 71 = 13463833944
Therefore, the lowest common multiple of 638,341,282,408,426 is 13463833944.
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 341 x 282 x 408 x 426 = 10663356483648
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
341 : 1, 11, 31, 341
282 : 1, 2, 3, 6, 47, 94, 141, 282
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
426 : 1, 2, 3, 6, 71, 142, 213, 426
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,341,282,408,426, is 1.
Now, the common factors can be found like this.
638:2x 11x 29
341:11x 31
282:2x 3x 47
408:2x 2x 2x 3x 17
426:2x 3x 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 3x 3x 11 = 792
Therefore, the value for common factors is 792.
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 = 10663356483648/(1x792)
LCM = 10663356483648/792
LCM = 13463833944
Thus, we can understand that the LCM of 638,341,282,408,426 is 13463833944.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 638, 341, 282, 408, 426
1. What is the LCM of 638, 341, 282, 408, 426?
Answer: LCM of 638, 341, 282, 408, 426 is 13463833944.
2. How to calculate the LCM of 638, 341, 282, 408, 426?
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, 341, 282, 408, 426.
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}.