LCM of 911, 468, 752, 552, 460
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 911, 468, 752, 552, 460 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 911, 468, 752, 552, 460. So, keep reading to learn more.
Given numbers are 911,468,752,552,460
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 911,468,752,552,460 is 9217643760.
Find LCM of 911,468,752,552,460 with Prime Factorization
| 2 | 911, 468, 752, 552, 460 |
| 2 | 911, 234, 376, 276, 230 |
| 2 | 911, 117, 188, 138, 115 |
| 3 | 911, 117, 94, 69, 115 |
| 23 | 911, 39, 94, 23, 115 |
| 911, 39, 94, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 23 x 911 x 39 x 94 x 1 x 5 = 9217643760
Therefore, the lowest common multiple of 911,468,752,552,460 is 9217643760.
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.
911 x 468 x 752 x 552 x 460 = 81410229688320
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.
911 : 1, 911
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 911,468,752,552,460, is 1.
Now, the common factors can be found like this.
911:911
468:2x 2x 3x 3x 13
752:2x 2x 2x 2x 47
552:2x 2x 2x 3x 23
460:2x 2x 5x 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 2x 2x 3x 23 = 8832
Therefore, the value for common factors is 8832.
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 = 81410229688320/(1x8832)
LCM = 81410229688320/8832
LCM = 9217643760
Thus, we can understand that the LCM of 911,468,752,552,460 is 9217643760.
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FAQs on LCM of 911, 468, 752, 552, 460
1. What is the LCM of 911, 468, 752, 552, 460?
Answer: LCM of 911, 468, 752, 552, 460 is 9217643760.
2. How to calculate the LCM of 911, 468, 752, 552, 460?
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 911, 468, 752, 552, 460.
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}.