LCM of 638, 853, 348, 968, 529
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 638, 853, 348, 968, 529 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, 853, 348, 968, 529. So, keep reading to learn more.
Given numbers are 638,853,348,968,529
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 638,853,348,968,529 is 38001375192.
Find LCM of 638,853,348,968,529 with Prime Factorization
| 2 | 638, 853, 348, 968, 529 |
| 2 | 319, 853, 174, 484, 529 |
| 11 | 319, 853, 87, 242, 529 |
| 29 | 29, 853, 87, 22, 529 |
| 1, 853, 3, 22, 529 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 29 x 1 x 853 x 3 x 22 x 529 = 38001375192
Therefore, the lowest common multiple of 638,853,348,968,529 is 38001375192.
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 853 x 348 x 968 x 529 = 96979509489984
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
853 : 1, 853
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
529 : 1, 23, 529
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,853,348,968,529, is 1.
Now, the common factors can be found like this.
638:2x 11x 29
853:853
348:2x 2x 3x 29
968:2x 2x 2x 11x 11
529:23x 23
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 11x 29 = 2552
Therefore, the value for common factors is 2552.
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 = 96979509489984/(1x2552)
LCM = 96979509489984/2552
LCM = 38001375192
Thus, we can understand that the LCM of 638,853,348,968,529 is 38001375192.
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FAQs on LCM of 638, 853, 348, 968, 529
1. What is the LCM of 638, 853, 348, 968, 529?
Answer: LCM of 638, 853, 348, 968, 529 is 38001375192.
2. How to calculate the LCM of 638, 853, 348, 968, 529?
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, 853, 348, 968, 529.
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}.