LCM of 396, 552, 121, 189, 315
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 396, 552, 121, 189, 315 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 396, 552, 121, 189, 315. So, keep reading to learn more.
Given numbers are 396,552,121,189,315
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 396,552,121,189,315 is 21039480.
Find LCM of 396,552,121,189,315 with Prime Factorization
| 2 | 396, 552, 121, 189, 315 |
| 2 | 198, 276, 121, 189, 315 |
| 3 | 99, 138, 121, 189, 315 |
| 3 | 33, 46, 121, 63, 105 |
| 7 | 11, 46, 121, 21, 35 |
| 11 | 11, 46, 121, 3, 5 |
| 1, 46, 11, 3, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 11 x 1 x 46 x 11 x 3 x 5 = 21039480
Therefore, the lowest common multiple of 396,552,121,189,315 is 21039480.
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.
396 x 552 x 121 x 189 x 315 = 1574678841120
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.
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
121 : 1, 11, 121
189 : 1, 3, 7, 9, 21, 27, 63, 189
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,552,121,189,315, is 1.
Now, the common factors can be found like this.
396:2x 2x 3x 3x 11
552:2x 2x 2x 3x 23
121:11x 11
189:3x 3x 3x 7
315:3x 3x 5x 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 3x 3x 3x 3x 3x 7x 11 = 74844
Therefore, the value for common factors is 74844.
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 = 1574678841120/(1x74844)
LCM = 1574678841120/74844
LCM = 21039480
Thus, we can understand that the LCM of 396,552,121,189,315 is 21039480.
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FAQs on LCM of 396, 552, 121, 189, 315
1. What is the LCM of 396, 552, 121, 189, 315?
Answer: LCM of 396, 552, 121, 189, 315 is 21039480.
2. How to calculate the LCM of 396, 552, 121, 189, 315?
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 396, 552, 121, 189, 315.
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}.