LCM of 104, 715, 192, 466, 952
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 104, 715, 192, 466, 952 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 104, 715, 192, 466, 952. So, keep reading to learn more.
Given numbers are 104,715,192,466,952
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 104,715,192,466,952 is 3806362560.
Find LCM of 104,715,192,466,952 with Prime Factorization
| 2 | 104, 715, 192, 466, 952 |
| 2 | 52, 715, 96, 233, 476 |
| 2 | 26, 715, 48, 233, 238 |
| 13 | 13, 715, 24, 233, 119 |
| 1, 55, 24, 233, 119 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 1 x 55 x 24 x 233 x 119 = 3806362560
Therefore, the lowest common multiple of 104,715,192,466,952 is 3806362560.
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.
104 x 715 x 192 x 466 x 952 = 6333787299840
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.
104 : 1, 2, 4, 8, 13, 26, 52, 104
715 : 1, 5, 11, 13, 55, 65, 143, 715
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
466 : 1, 2, 233, 466
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 104,715,192,466,952, is 1.
Now, the common factors can be found like this.
104:2x 2x 2x 13
715:5x 11x 13
192:2x 2x 2x 2x 2x 2x 3
466:2x 233
952:2x 2x 2x 7x 17
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 13 = 1664
Therefore, the value for common factors is 1664.
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 = 6333787299840/(1x1664)
LCM = 6333787299840/1664
LCM = 3806362560
Thus, we can understand that the LCM of 104,715,192,466,952 is 3806362560.
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FAQs on LCM of 104, 715, 192, 466, 952
1. What is the LCM of 104, 715, 192, 466, 952?
Answer: LCM of 104, 715, 192, 466, 952 is 3806362560.
2. How to calculate the LCM of 104, 715, 192, 466, 952?
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 104, 715, 192, 466, 952.
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}.