LCM of 388, 724, 832, 462, 804
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 388, 724, 832, 462, 804 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 388, 724, 832, 462, 804. So, keep reading to learn more.
Given numbers are 388,724,832,462,804
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 388,724,832,462,804 is 226079101248.
Find LCM of 388,724,832,462,804 with Prime Factorization
| 2 | 388, 724, 832, 462, 804 |
| 2 | 194, 362, 416, 231, 402 |
| 3 | 97, 181, 208, 231, 201 |
| 97, 181, 208, 77, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 97 x 181 x 208 x 77 x 67 = 226079101248
Therefore, the lowest common multiple of 388,724,832,462,804 is 226079101248.
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.
388 x 724 x 832 x 462 x 804 = 86814374879232
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.
388 : 1, 2, 4, 97, 194, 388
724 : 1, 2, 4, 181, 362, 724
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 388,724,832,462,804, is 2.
Now, the common factors can be found like this.
388:2x 2x 97
724:2x 2x 181
832:2x 2x 2x 2x 2x 2x 13
462:2x 3x 7x 11
804:2x 2x 3x 67
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 3 = 192
Therefore, the value for common factors is 192.
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 = 86814374879232/(2x192)
LCM = 86814374879232/384
LCM = 226079101248
Thus, we can understand that the LCM of 388,724,832,462,804 is 226079101248.
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FAQs on LCM of 388, 724, 832, 462, 804
1. What is the LCM of 388, 724, 832, 462, 804?
Answer: LCM of 388, 724, 832, 462, 804 is 226079101248.
2. How to calculate the LCM of 388, 724, 832, 462, 804?
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 388, 724, 832, 462, 804.
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}.