LCM of 482, 518, 552, 518, 184
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 482, 518, 552, 518, 184 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 482, 518, 552, 518, 184. So, keep reading to learn more.
Given numbers are 482,518,552,518,184
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 482,518,552,518,184 is 34455288.
Find LCM of 482,518,552,518,184 with Prime Factorization
| 2 | 482, 518, 552, 518, 184 |
| 2 | 241, 259, 276, 259, 92 |
| 2 | 241, 259, 138, 259, 46 |
| 7 | 241, 259, 69, 259, 23 |
| 23 | 241, 37, 69, 37, 23 |
| 37 | 241, 37, 3, 37, 1 |
| 241, 1, 3, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 23 x 37 x 241 x 1 x 3 x 1 x 1 = 34455288
Therefore, the lowest common multiple of 482,518,552,518,184 is 34455288.
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.
482 x 518 x 552 x 518 x 184 = 13136009639424
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.
482 : 1, 2, 241, 482
518 : 1, 2, 7, 14, 37, 74, 259, 518
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
518 : 1, 2, 7, 14, 37, 74, 259, 518
184 : 1, 2, 4, 8, 23, 46, 92, 184
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 482,518,552,518,184, is 2.
Now, the common factors can be found like this.
482:2x 241
518:2x 7x 37
552:2x 2x 2x 3x 23
518:2x 7x 37
184:2x 2x 2x 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 2x 2x 7x 23x 37 = 190624
Therefore, the value for common factors is 190624.
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 = 13136009639424/(2x190624)
LCM = 13136009639424/381248
LCM = 34455288
Thus, we can understand that the LCM of 482,518,552,518,184 is 34455288.
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FAQs on LCM of 482, 518, 552, 518, 184
1. What is the LCM of 482, 518, 552, 518, 184?
Answer: LCM of 482, 518, 552, 518, 184 is 34455288.
2. How to calculate the LCM of 482, 518, 552, 518, 184?
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 482, 518, 552, 518, 184.
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}.