Find the LCM of 696, 843, 447, 524, 924 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 696, 843, 447, 524, 924. So, keep reading to learn more.
Given numbers are 696,843,447,524,924
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 696,843,447,524,924 is 293943491688.
Find LCM of 696,843,447,524,924 with Prime Factorization
2 | 696, 843, 447, 524, 924 |
2 | 348, 843, 447, 262, 462 |
3 | 174, 843, 447, 131, 231 |
58, 281, 149, 131, 77 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 58 x 281 x 149 x 131 x 77 = 293943491688
Therefore, the lowest common multiple of 696,843,447,524,924 is 293943491688.
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.
696 x 843 x 447 x 524 x 924 = 126983588409216
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.
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
843 : 1, 3, 281, 843
447 : 1, 3, 149, 447
524 : 1, 2, 4, 131, 262, 524
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 696,843,447,524,924, is 1.
Now, the common factors can be found like this.
696:2x 2x 2x 3x 29
843:3x 281
447:3x 149
524:2x 2x 131
924:2x 2x 3x 7x 11
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 3x 3x 3 = 432
Therefore, the value for common factors is 432.
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 = 126983588409216/(1x432)
LCM = 126983588409216/432
LCM = 293943491688
Thus, we can understand that the LCM of 696,843,447,524,924 is 293943491688.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 696, 843, 447, 524, 924?
Answer: LCM of 696, 843, 447, 524, 924 is 293943491688.
2. How to calculate the LCM of 696, 843, 447, 524, 924?
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 696, 843, 447, 524, 924.
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}.