LCM of 945, 455, 494, 969, 359
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 945, 455, 494, 969, 359 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 945, 455, 494, 969, 359. So, keep reading to learn more.
Given numbers are 945,455,494,969,359
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 945,455,494,969,359 is 2849063490.
Find LCM of 945,455,494,969,359 with Prime Factorization
| 3 | 945, 455, 494, 969, 359 |
| 5 | 315, 455, 494, 323, 359 |
| 7 | 63, 91, 494, 323, 359 |
| 13 | 9, 13, 494, 323, 359 |
| 19 | 9, 1, 38, 323, 359 |
| 9, 1, 2, 17, 359 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 13 x 19 x 9 x 1 x 2 x 17 x 359 = 2849063490
Therefore, the lowest common multiple of 945,455,494,969,359 is 2849063490.
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.
945 x 455 x 494 x 969 x 359 = 73890461613150
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.
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
455 : 1, 5, 7, 13, 35, 65, 91, 455
494 : 1, 2, 13, 19, 26, 38, 247, 494
969 : 1, 3, 17, 19, 51, 57, 323, 969
359 : 1, 359
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 945,455,494,969,359, is 1.
Now, the common factors can be found like this.
945:3x 3x 3x 5x 7
455:5x 7x 13
494:2x 13x 19
969:3x 17x 19
359:359
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 7x 13x 19 = 25935
Therefore, the value for common factors is 25935.
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 = 73890461613150/(1x25935)
LCM = 73890461613150/25935
LCM = 2849063490
Thus, we can understand that the LCM of 945,455,494,969,359 is 2849063490.
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FAQs on LCM of 945, 455, 494, 969, 359
1. What is the LCM of 945, 455, 494, 969, 359?
Answer: LCM of 945, 455, 494, 969, 359 is 2849063490.
2. How to calculate the LCM of 945, 455, 494, 969, 359?
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 945, 455, 494, 969, 359.
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}.