LCM of 518, 768, 252, 361, 904
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 518, 768, 252, 361, 904 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 518, 768, 252, 361, 904. So, keep reading to learn more.
Given numbers are 518,768,252,361,904
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 518,768,252,361,904 is 24342651648.
Find LCM of 518,768,252,361,904 with Prime Factorization
| 2 | 518, 768, 252, 361, 904 |
| 2 | 259, 384, 126, 361, 452 |
| 2 | 259, 192, 63, 361, 226 |
| 3 | 259, 96, 63, 361, 113 |
| 7 | 259, 32, 21, 361, 113 |
| 37, 32, 3, 361, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 37 x 32 x 3 x 361 x 113 = 24342651648
Therefore, the lowest common multiple of 518,768,252,361,904 is 24342651648.
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.
518 x 768 x 252 x 361 x 904 = 32716523814912
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.
518 : 1, 2, 7, 14, 37, 74, 259, 518
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
361 : 1, 19, 361
904 : 1, 2, 4, 8, 113, 226, 452, 904
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 518,768,252,361,904, is 1.
Now, the common factors can be found like this.
518:2x 7x 37
768:2x 2x 2x 2x 2x 2x 2x 2x 3
252:2x 2x 3x 3x 7
361:19x 19
904:2x 2x 2x 113
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 2x 3x 7 = 1344
Therefore, the value for common factors is 1344.
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 = 32716523814912/(1x1344)
LCM = 32716523814912/1344
LCM = 24342651648
Thus, we can understand that the LCM of 518,768,252,361,904 is 24342651648.
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FAQs on LCM of 518, 768, 252, 361, 904
1. What is the LCM of 518, 768, 252, 361, 904?
Answer: LCM of 518, 768, 252, 361, 904 is 24342651648.
2. How to calculate the LCM of 518, 768, 252, 361, 904?
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 518, 768, 252, 361, 904.
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}.