Find the LCM of 962, 408, 696, 524, 257 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 962, 408, 696, 524, 257. So, keep reading to learn more.
Given numbers are 962,408,696,524,257
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 962,408,696,524,257 is 191605361064.
Find LCM of 962,408,696,524,257 with Prime Factorization
2 | 962, 408, 696, 524, 257 |
2 | 481, 204, 348, 262, 257 |
2 | 481, 102, 174, 131, 257 |
3 | 481, 51, 87, 131, 257 |
481, 17, 29, 131, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 481 x 17 x 29 x 131 x 257 = 191605361064
Therefore, the lowest common multiple of 962,408,696,524,257 is 191605361064.
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.
962 x 408 x 696 x 524 x 257 = 36788229324288
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.
962 : 1, 2, 13, 26, 37, 74, 481, 962
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
524 : 1, 2, 4, 131, 262, 524
257 : 1, 257
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,408,696,524,257, is 1.
Now, the common factors can be found like this.
962:2x 13x 37
408:2x 2x 2x 3x 17
696:2x 2x 2x 3x 29
524:2x 2x 131
257:257
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 3 = 192
Therefore, the value for common factors is 192.
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 = 36788229324288/(1x192)
LCM = 36788229324288/192
LCM = 191605361064
Thus, we can understand that the LCM of 962,408,696,524,257 is 191605361064.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 962, 408, 696, 524, 257?
Answer: LCM of 962, 408, 696, 524, 257 is 191605361064.
2. How to calculate the LCM of 962, 408, 696, 524, 257?
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 962, 408, 696, 524, 257.
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}.