LCM of 411, 792, 627, 648
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 411, 792, 627, 648 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 411, 792, 627, 648. So, keep reading to learn more.
Given numbers are 411,792,627,648
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 411,792,627,648 is 18554184.
Find LCM of 411,792,627,648 with Prime Factorization
| 2 | 411, 792, 627, 648 |
| 2 | 411, 396, 627, 324 |
| 2 | 411, 198, 627, 162 |
| 3 | 411, 99, 627, 81 |
| 3 | 137, 33, 209, 27 |
| 11 | 137, 11, 209, 9 |
| 137, 1, 19, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 11 x 137 x 1 x 19 x 9 = 18554184
Therefore, the lowest common multiple of 411,792,627,648 is 18554184.
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.
411 x 792 x 627 x 648 = 132254223552
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.
411 : 1, 3, 137, 411
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
627 : 1, 3, 11, 19, 33, 57, 209, 627
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 411,792,627,648, is 3.
Now, the common factors can be found like this.
411:3x 137
792:2x 2x 2x 3x 3x 11
627:3x 11x 19
648:2x 2x 2x 3x 3x 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 3x 3x 3x 11 = 2376
Therefore, the value for common factors is 2376.
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 = 132254223552/(3x2376)
LCM = 132254223552/7128
LCM = 18554184
Thus, we can understand that the LCM of 411,792,627,648 is 18554184.
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FAQs on LCM of 411, 792, 627, 648
1. What is the LCM of 411, 792, 627, 648?
Answer: LCM of 411, 792, 627, 648 is 18554184.
2. How to calculate the LCM of 411, 792, 627, 648?
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 411, 792, 627, 648.
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}.