LCM of 104, 465, 226, 952, 742
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 104, 465, 226, 952, 742 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, 465, 226, 952, 742. So, keep reading to learn more.
Given numbers are 104,465,226,952,742
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 104,465,226,952,742 is 34465736760.
Find LCM of 104,465,226,952,742 with Prime Factorization
| 2 | 104, 465, 226, 952, 742 |
| 2 | 52, 465, 113, 476, 371 |
| 2 | 26, 465, 113, 238, 371 |
| 7 | 13, 465, 113, 119, 371 |
| 13, 465, 113, 17, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 13 x 465 x 113 x 17 x 53 = 34465736760
Therefore, the lowest common multiple of 104,465,226,952,742 is 34465736760.
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 465 x 226 x 952 x 742 = 7720325034240
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
465 : 1, 3, 5, 15, 31, 93, 155, 465
226 : 1, 2, 113, 226
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
742 : 1, 2, 7, 14, 53, 106, 371, 742
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 104,465,226,952,742, is 1.
Now, the common factors can be found like this.
104:2x 2x 2x 13
465:3x 5x 31
226:2x 113
952:2x 2x 2x 7x 17
742:2x 7x 53
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 7 = 224
Therefore, the value for common factors is 224.
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 = 7720325034240/(1x224)
LCM = 7720325034240/224
LCM = 34465736760
Thus, we can understand that the LCM of 104,465,226,952,742 is 34465736760.
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FAQs on LCM of 104, 465, 226, 952, 742
1. What is the LCM of 104, 465, 226, 952, 742?
Answer: LCM of 104, 465, 226, 952, 742 is 34465736760.
2. How to calculate the LCM of 104, 465, 226, 952, 742?
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, 465, 226, 952, 742.
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}.