Find the LCM of 297, 612, 463, 495, 696 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 297, 612, 463, 495, 696. So, keep reading to learn more.
Given numbers are 297,612,463,495,696
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 297,612,463,495,696 is 2711716920.
Find LCM of 297,612,463,495,696 with Prime Factorization
2 | 297, 612, 463, 495, 696 |
2 | 297, 306, 463, 495, 348 |
3 | 297, 153, 463, 495, 174 |
3 | 99, 51, 463, 165, 58 |
11 | 33, 17, 463, 55, 58 |
3, 17, 463, 5, 58 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 3 x 17 x 463 x 5 x 58 = 2711716920
Therefore, the lowest common multiple of 297,612,463,495,696 is 2711716920.
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.
297 x 612 x 463 x 495 x 696 = 28993677308640
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.
297 : 1, 3, 9, 11, 27, 33, 99, 297
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
463 : 1, 463
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 297,612,463,495,696, is 1.
Now, the common factors can be found like this.
297:3x 3x 3x 11
612:2x 2x 3x 3x 17
463:463
495:3x 3x 5x 11
696:2x 2x 2x 3x 29
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 3x 3x 3x 3x 3x 11 = 10692
Therefore, the value for common factors is 10692.
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 = 28993677308640/(1x10692)
LCM = 28993677308640/10692
LCM = 2711716920
Thus, we can understand that the LCM of 297,612,463,495,696 is 2711716920.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 297, 612, 463, 495, 696?
Answer: LCM of 297, 612, 463, 495, 696 is 2711716920.
2. How to calculate the LCM of 297, 612, 463, 495, 696?
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 297, 612, 463, 495, 696.
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}.