LCM of 495, 390, 217, 265, 966
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 495, 390, 217, 265, 966 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 495, 390, 217, 265, 966. So, keep reading to learn more.
Given numbers are 495,390,217,265,966
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 495,390,217,265,966 is 3404411010.
Find LCM of 495,390,217,265,966 with Prime Factorization
| 2 | 495, 390, 217, 265, 966 |
| 3 | 495, 195, 217, 265, 483 |
| 5 | 165, 65, 217, 265, 161 |
| 7 | 33, 13, 217, 53, 161 |
| 33, 13, 31, 53, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 33 x 13 x 31 x 53 x 23 = 3404411010
Therefore, the lowest common multiple of 495,390,217,265,966 is 3404411010.
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.
495 x 390 x 217 x 265 x 966 = 10723894681500
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.
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
217 : 1, 7, 31, 217
265 : 1, 5, 53, 265
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 495,390,217,265,966, is 1.
Now, the common factors can be found like this.
495:3x 3x 5x 11
390:2x 3x 5x 13
217:7x 31
265:5x 53
966:2x 3x 7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 5x 7 = 3150
Therefore, the value for common factors is 3150.
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 = 10723894681500/(1x3150)
LCM = 10723894681500/3150
LCM = 3404411010
Thus, we can understand that the LCM of 495,390,217,265,966 is 3404411010.
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FAQs on LCM of 495, 390, 217, 265, 966
1. What is the LCM of 495, 390, 217, 265, 966?
Answer: LCM of 495, 390, 217, 265, 966 is 3404411010.
2. How to calculate the LCM of 495, 390, 217, 265, 966?
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 495, 390, 217, 265, 966.
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}.