Find the LCM of 495, 534, 430, 855, 945 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, 534, 430, 855, 945. So, keep reading to learn more.
Given numbers are 495,534,430,855,945
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 495,534,430,855,945 is 1511703270.
Find LCM of 495,534,430,855,945 with Prime Factorization
2 | 495, 534, 430, 855, 945 |
3 | 495, 267, 215, 855, 945 |
3 | 165, 89, 215, 285, 315 |
5 | 55, 89, 215, 95, 105 |
11, 89, 43, 19, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 11 x 89 x 43 x 19 x 21 = 1511703270
Therefore, the lowest common multiple of 495,534,430,855,945 is 1511703270.
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 534 x 430 x 855 x 945 = 91835973652500
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
534 : 1, 2, 3, 6, 89, 178, 267, 534
430 : 1, 2, 5, 10, 43, 86, 215, 430
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 495,534,430,855,945, is 1.
Now, the common factors can be found like this.
495:3x 3x 5x 11
534:2x 3x 89
430:2x 5x 43
855:3x 3x 5x 19
945:3x 3x 3x 5x 7
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 3x 3x 5x 5x 5 = 60750
Therefore, the value for common factors is 60750.
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 = 91835973652500/(1x60750)
LCM = 91835973652500/60750
LCM = 1511703270
Thus, we can understand that the LCM of 495,534,430,855,945 is 1511703270.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 495, 534, 430, 855, 945?
Answer: LCM of 495, 534, 430, 855, 945 is 1511703270.
2. How to calculate the LCM of 495, 534, 430, 855, 945?
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, 534, 430, 855, 945.
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}.