Find the LCM of 402, 341, 709, 432, 594 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 402, 341, 709, 432, 594. So, keep reading to learn more.
Given numbers are 402,341,709,432,594
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 402,341,709,432,594 is 6997761936.
Find LCM of 402,341,709,432,594 with Prime Factorization
2 | 402, 341, 709, 432, 594 |
3 | 201, 341, 709, 216, 297 |
3 | 67, 341, 709, 72, 99 |
3 | 67, 341, 709, 24, 33 |
11 | 67, 341, 709, 8, 11 |
67, 31, 709, 8, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 11 x 67 x 31 x 709 x 8 x 1 = 6997761936
Therefore, the lowest common multiple of 402,341,709,432,594 is 6997761936.
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.
402 x 341 x 709 x 432 x 594 = 24940023539904
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.
402 : 1, 2, 3, 6, 67, 134, 201, 402
341 : 1, 11, 31, 341
709 : 1, 709
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,341,709,432,594, is 1.
Now, the common factors can be found like this.
402:2x 3x 67
341:11x 31
709:709
432:2x 2x 2x 2x 3x 3x 3
594:2x 3x 3x 3x 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 3x 3x 3x 3x 11 = 3564
Therefore, the value for common factors is 3564.
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 = 24940023539904/(1x3564)
LCM = 24940023539904/3564
LCM = 6997761936
Thus, we can understand that the LCM of 402,341,709,432,594 is 6997761936.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 402, 341, 709, 432, 594?
Answer: LCM of 402, 341, 709, 432, 594 is 6997761936.
2. How to calculate the LCM of 402, 341, 709, 432, 594?
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 402, 341, 709, 432, 594.
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}.