LCM of 464, 288, 594, 988, 488
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 464, 288, 594, 988, 488 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 464, 288, 594, 988, 488. So, keep reading to learn more.
Given numbers are 464,288,594,988,488
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 464,288,594,988,488 is 4152706272.
Find LCM of 464,288,594,988,488 with Prime Factorization
| 2 | 464, 288, 594, 988, 488 |
| 2 | 232, 144, 297, 494, 244 |
| 2 | 116, 72, 297, 247, 122 |
| 2 | 58, 36, 297, 247, 61 |
| 3 | 29, 18, 297, 247, 61 |
| 3 | 29, 6, 99, 247, 61 |
| 29, 2, 33, 247, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 29 x 2 x 33 x 247 x 61 = 4152706272
Therefore, the lowest common multiple of 464,288,594,988,488 is 4152706272.
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.
464 x 288 x 594 x 988 x 488 = 38271341002752
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.
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
488 : 1, 2, 4, 8, 61, 122, 244, 488
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,288,594,988,488, is 2.
Now, the common factors can be found like this.
464:2x 2x 2x 2x 29
288:2x 2x 2x 2x 2x 3x 3
594:2x 3x 3x 3x 11
988:2x 2x 13x 19
488:2x 2x 2x 61
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 2x 2x 2x 3x 3 = 4608
Therefore, the value for common factors is 4608.
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 = 38271341002752/(2x4608)
LCM = 38271341002752/9216
LCM = 4152706272
Thus, we can understand that the LCM of 464,288,594,988,488 is 4152706272.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 464, 288, 594, 988, 488
1. What is the LCM of 464, 288, 594, 988, 488?
Answer: LCM of 464, 288, 594, 988, 488 is 4152706272.
2. How to calculate the LCM of 464, 288, 594, 988, 488?
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 464, 288, 594, 988, 488.
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}.