LCM of 462, 388, 748, 590, 168
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 462, 388, 748, 590, 168 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 462, 388, 748, 590, 168. So, keep reading to learn more.
Given numbers are 462,388,748,590,168
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 462,388,748,590,168 is 898968840.
Find LCM of 462,388,748,590,168 with Prime Factorization
| 2 | 462, 388, 748, 590, 168 |
| 2 | 231, 194, 374, 295, 84 |
| 3 | 231, 97, 187, 295, 42 |
| 7 | 77, 97, 187, 295, 14 |
| 11 | 11, 97, 187, 295, 2 |
| 1, 97, 17, 295, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 11 x 1 x 97 x 17 x 295 x 2 = 898968840
Therefore, the lowest common multiple of 462,388,748,590,168 is 898968840.
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.
462 x 388 x 748 x 590 x 168 = 13290355330560
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.
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
388 : 1, 2, 4, 97, 194, 388
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
590 : 1, 2, 5, 10, 59, 118, 295, 590
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,388,748,590,168, is 2.
Now, the common factors can be found like this.
462:2x 3x 7x 11
388:2x 2x 97
748:2x 2x 11x 17
590:2x 5x 59
168:2x 2x 2x 3x 7
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 7x 11 = 7392
Therefore, the value for common factors is 7392.
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 = 13290355330560/(2x7392)
LCM = 13290355330560/14784
LCM = 898968840
Thus, we can understand that the LCM of 462,388,748,590,168 is 898968840.
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FAQs on LCM of 462, 388, 748, 590, 168
1. What is the LCM of 462, 388, 748, 590, 168?
Answer: LCM of 462, 388, 748, 590, 168 is 898968840.
2. How to calculate the LCM of 462, 388, 748, 590, 168?
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 462, 388, 748, 590, 168.
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}.