LCM of 627, 460, 108, 288
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 627, 460, 108, 288 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 627, 460, 108, 288. So, keep reading to learn more.
Given numbers are 627,460,108,288
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 627,460,108,288 is 20766240.
Find LCM of 627,460,108,288 with Prime Factorization
| 2 | 627, 460, 108, 288 |
| 2 | 627, 230, 54, 144 |
| 3 | 627, 115, 27, 72 |
| 3 | 209, 115, 9, 24 |
| 209, 115, 3, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 209 x 115 x 3 x 8 = 20766240
Therefore, the lowest common multiple of 627,460,108,288 is 20766240.
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.
627 x 460 x 108 x 288 = 8971015680
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.
627 : 1, 3, 11, 19, 33, 57, 209, 627
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,460,108,288, is 1.
Now, the common factors can be found like this.
627:3x 11x 19
460:2x 2x 5x 23
108:2x 2x 3x 3x 3
288:2x 2x 2x 2x 2x 3x 3
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 3x 3x 3 = 432
Therefore, the value for common factors is 432.
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 = 8971015680/(1x432)
LCM = 8971015680/432
LCM = 20766240
Thus, we can understand that the LCM of 627,460,108,288 is 20766240.
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FAQs on LCM of 627, 460, 108, 288
1. What is the LCM of 627, 460, 108, 288?
Answer: LCM of 627, 460, 108, 288 is 20766240.
2. How to calculate the LCM of 627, 460, 108, 288?
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 627, 460, 108, 288.
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}.