Find the LCM of 452, 593, 696, 696, 348 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 452, 593, 696, 696, 348. So, keep reading to learn more.
Given numbers are 452,593,696,696,348
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 452,593,696,696,348 is 46638264.
Find LCM of 452,593,696,696,348 with Prime Factorization
2 | 452, 593, 696, 696, 348 |
2 | 226, 593, 348, 348, 174 |
2 | 113, 593, 87, 174, 174 |
3 | 113, 593, 87, 87, 87 |
29 | 113, 593, 29, 29, 29 |
113, 593, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 29 x 113 x 593 x 1 x 1 x 1 = 46638264
Therefore, the lowest common multiple of 452,593,696,696,348 is 46638264.
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.
452 x 593 x 696 x 696 x 348 = 45184642587648
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.
452 : 1, 2, 4, 113, 226, 452
593 : 1, 593
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 452,593,696,696,348, is 1.
Now, the common factors can be found like this.
452:2x 2x 113
593:593
696:2x 2x 2x 3x 29
696:2x 2x 2x 3x 29
348:2x 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 2x 2x 2x 2x 2x 3x 3x 29x 29 = 968832
Therefore, the value for common factors is 968832.
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 = 45184642587648/(1x968832)
LCM = 45184642587648/968832
LCM = 46638264
Thus, we can understand that the LCM of 452,593,696,696,348 is 46638264.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 452, 593, 696, 696, 348?
Answer: LCM of 452, 593, 696, 696, 348 is 46638264.
2. How to calculate the LCM of 452, 593, 696, 696, 348?
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 452, 593, 696, 696, 348.
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}.