LCM of 884, 388, 728, 462, 626
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 884, 388, 728, 462, 626 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 884, 388, 728, 462, 626. So, keep reading to learn more.
Given numbers are 884,388,728,462,626
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 884,388,728,462,626 is 12399675288.
Find LCM of 884,388,728,462,626 with Prime Factorization
| 2 | 884, 388, 728, 462, 626 |
| 2 | 442, 194, 364, 231, 313 |
| 7 | 221, 97, 182, 231, 313 |
| 13 | 221, 97, 26, 33, 313 |
| 17, 97, 2, 33, 313 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 13 x 17 x 97 x 2 x 33 x 313 = 12399675288
Therefore, the lowest common multiple of 884,388,728,462,626 is 12399675288.
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.
884 x 388 x 728 x 462 x 626 = 72215708877312
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.
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
388 : 1, 2, 4, 97, 194, 388
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
626 : 1, 2, 313, 626
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,388,728,462,626, is 2.
Now, the common factors can be found like this.
884:2x 2x 13x 17
388:2x 2x 97
728:2x 2x 2x 7x 13
462:2x 3x 7x 11
626:2x 313
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 13 = 2912
Therefore, the value for common factors is 2912.
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 = 72215708877312/(2x2912)
LCM = 72215708877312/5824
LCM = 12399675288
Thus, we can understand that the LCM of 884,388,728,462,626 is 12399675288.
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FAQs on LCM of 884, 388, 728, 462, 626
1. What is the LCM of 884, 388, 728, 462, 626?
Answer: LCM of 884, 388, 728, 462, 626 is 12399675288.
2. How to calculate the LCM of 884, 388, 728, 462, 626?
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 884, 388, 728, 462, 626.
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}.