LCM of 470, 396, 546, 441, 990
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 470, 396, 546, 441, 990 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 470, 396, 546, 441, 990. So, keep reading to learn more.
Given numbers are 470,396,546,441,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 470,396,546,441,990 is 59279220.
Find LCM of 470,396,546,441,990 with Prime Factorization
| 2 | 470, 396, 546, 441, 990 |
| 3 | 235, 198, 273, 441, 495 |
| 3 | 235, 66, 91, 147, 165 |
| 5 | 235, 22, 91, 49, 55 |
| 7 | 47, 22, 91, 49, 11 |
| 11 | 47, 22, 13, 7, 11 |
| 47, 2, 13, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 11 x 47 x 2 x 13 x 7 x 1 = 59279220
Therefore, the lowest common multiple of 470,396,546,441,990 is 59279220.
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.
470 x 396 x 546 x 441 x 990 = 44366939416800
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.
470 : 1, 2, 5, 10, 47, 94, 235, 470
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,396,546,441,990, is 1.
Now, the common factors can be found like this.
470:2x 5x 47
396:2x 2x 3x 3x 11
546:2x 3x 7x 13
441:3x 3x 7x 7
990:2x 3x 3x 5x 11
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 3x 3x 5x 7x 11 = 748440
Therefore, the value for common factors is 748440.
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 = 44366939416800/(1x748440)
LCM = 44366939416800/748440
LCM = 59279220
Thus, we can understand that the LCM of 470,396,546,441,990 is 59279220.
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FAQs on LCM of 470, 396, 546, 441, 990
1. What is the LCM of 470, 396, 546, 441, 990?
Answer: LCM of 470, 396, 546, 441, 990 is 59279220.
2. How to calculate the LCM of 470, 396, 546, 441, 990?
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 470, 396, 546, 441, 990.
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}.