LCM of 388, 260, 948, 489, 678
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 388, 260, 948, 489, 678 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, 260, 948, 489, 678. So, keep reading to learn more.
Given numbers are 388,260,948,489,678
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 388,260,948,489,678 is 110092941660.
Find LCM of 388,260,948,489,678 with Prime Factorization
| 2 | 388, 260, 948, 489, 678 |
| 2 | 194, 130, 474, 489, 339 |
| 3 | 97, 65, 237, 489, 339 |
| 97, 65, 79, 163, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 97 x 65 x 79 x 163 x 113 = 110092941660
Therefore, the lowest common multiple of 388,260,948,489,678 is 110092941660.
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 260 x 948 x 489 x 678 = 31706767198080
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
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
489 : 1, 3, 163, 489
678 : 1, 2, 3, 6, 113, 226, 339, 678
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 388,260,948,489,678, is 1.
Now, the common factors can be found like this.
388:2x 2x 97
260:2x 2x 5x 13
948:2x 2x 3x 79
489:3x 163
678:2x 3x 113
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 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 31706767198080/(1x288)
LCM = 31706767198080/288
LCM = 110092941660
Thus, we can understand that the LCM of 388,260,948,489,678 is 110092941660.
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FAQs on LCM of 388, 260, 948, 489, 678
1. What is the LCM of 388, 260, 948, 489, 678?
Answer: LCM of 388, 260, 948, 489, 678 is 110092941660.
2. How to calculate the LCM of 388, 260, 948, 489, 678?
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, 260, 948, 489, 678.
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}.