LCM of 156, 990, 440, 612, 409
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 156, 990, 440, 612, 409 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 156, 990, 440, 612, 409. So, keep reading to learn more.
Given numbers are 156,990,440,612,409
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 156,990,440,612,409 is 357940440.
Find LCM of 156,990,440,612,409 with Prime Factorization
| 2 | 156, 990, 440, 612, 409 |
| 2 | 78, 495, 220, 306, 409 |
| 3 | 39, 495, 110, 153, 409 |
| 3 | 13, 165, 110, 51, 409 |
| 5 | 13, 55, 110, 17, 409 |
| 11 | 13, 11, 22, 17, 409 |
| 13, 1, 2, 17, 409 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 11 x 13 x 1 x 2 x 17 x 409 = 357940440
Therefore, the lowest common multiple of 156,990,440,612,409 is 357940440.
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.
156 x 990 x 440 x 612 x 409 = 17009329708800
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.
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
409 : 1, 409
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 156,990,440,612,409, is 1.
Now, the common factors can be found like this.
156:2x 2x 3x 13
990:2x 3x 3x 5x 11
440:2x 2x 2x 5x 11
612:2x 2x 3x 3x 17
409:409
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 3x 3x 5x 11 = 47520
Therefore, the value for common factors is 47520.
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 = 17009329708800/(1x47520)
LCM = 17009329708800/47520
LCM = 357940440
Thus, we can understand that the LCM of 156,990,440,612,409 is 357940440.
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FAQs on LCM of 156, 990, 440, 612, 409
1. What is the LCM of 156, 990, 440, 612, 409?
Answer: LCM of 156, 990, 440, 612, 409 is 357940440.
2. How to calculate the LCM of 156, 990, 440, 612, 409?
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 156, 990, 440, 612, 409.
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}.