Find the LCM of 848, 532, 484, 616, 369 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 848, 532, 484, 616, 369. So, keep reading to learn more.
Given numbers are 848,532,484,616,369
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 848,532,484,616,369 is 5035692816.
Find LCM of 848,532,484,616,369 with Prime Factorization
2 | 848, 532, 484, 616, 369 |
2 | 424, 266, 242, 308, 369 |
2 | 212, 133, 121, 154, 369 |
7 | 106, 133, 121, 77, 369 |
11 | 106, 19, 121, 11, 369 |
106, 19, 1, 11, 369 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 11 x 106 x 19 x 1 x 11 x 369 = 5035692816
Therefore, the lowest common multiple of 848,532,484,616,369 is 5035692816.
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.
848 x 532 x 484 x 616 x 369 = 49631788394496
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.
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
369 : 1, 3, 9, 41, 123, 369
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 848,532,484,616,369, is 1.
Now, the common factors can be found like this.
848:2x 2x 2x 2x 53
532:2x 2x 7x 19
484:2x 2x 11x 11
616:2x 2x 2x 7x 11
369:3x 3x 41
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 2x 2x 2x 2x 2x 7x 11 = 9856
Therefore, the value for common factors is 9856.
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 = 49631788394496/(1x9856)
LCM = 49631788394496/9856
LCM = 5035692816
Thus, we can understand that the LCM of 848,532,484,616,369 is 5035692816.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 848, 532, 484, 616, 369?
Answer: LCM of 848, 532, 484, 616, 369 is 5035692816.
2. How to calculate the LCM of 848, 532, 484, 616, 369?
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 848, 532, 484, 616, 369.
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}.