LCM of 495, 645, 920, 485, 954
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 495, 645, 920, 485, 954 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, 645, 920, 485, 954. So, keep reading to learn more.
Given numbers are 495,645,920,485,954
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 495,645,920,485,954 is 20134418040.
Find LCM of 495,645,920,485,954 with Prime Factorization
| 2 | 495, 645, 920, 485, 954 |
| 3 | 495, 645, 460, 485, 477 |
| 3 | 165, 215, 460, 485, 159 |
| 5 | 55, 215, 460, 485, 53 |
| 11, 43, 92, 97, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 11 x 43 x 92 x 97 x 53 = 20134418040
Therefore, the lowest common multiple of 495,645,920,485,954 is 20134418040.
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 645 x 920 x 485 x 954 = 135907321770000
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
645 : 1, 3, 5, 15, 43, 129, 215, 645
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
485 : 1, 5, 97, 485
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 495,645,920,485,954, is 1.
Now, the common factors can be found like this.
495:3x 3x 5x 11
645:3x 5x 43
920:2x 2x 2x 5x 23
485:5x 97
954:2x 3x 3x 53
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 3x 5x 5x 5 = 6750
Therefore, the value for common factors is 6750.
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 = 135907321770000/(1x6750)
LCM = 135907321770000/6750
LCM = 20134418040
Thus, we can understand that the LCM of 495,645,920,485,954 is 20134418040.
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FAQs on LCM of 495, 645, 920, 485, 954
1. What is the LCM of 495, 645, 920, 485, 954?
Answer: LCM of 495, 645, 920, 485, 954 is 20134418040.
2. How to calculate the LCM of 495, 645, 920, 485, 954?
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, 645, 920, 485, 954.
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}.