Find the LCM of 422, 668, 402, 247, 754 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 422, 668, 402, 247, 754. So, keep reading to learn more.
Given numbers are 422,668,402,247,754
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 422,668,402,247,754 is 202931715324.
Find LCM of 422,668,402,247,754 with Prime Factorization
2 | 422, 668, 402, 247, 754 |
13 | 211, 334, 201, 247, 377 |
211, 334, 201, 19, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 211 x 334 x 201 x 19 x 29 = 202931715324
Therefore, the lowest common multiple of 422,668,402,247,754 is 202931715324.
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.
422 x 668 x 402 x 247 x 754 = 21104898393696
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.
422 : 1, 2, 211, 422
668 : 1, 2, 4, 167, 334, 668
402 : 1, 2, 3, 6, 67, 134, 201, 402
247 : 1, 13, 19, 247
754 : 1, 2, 13, 26, 29, 58, 377, 754
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,668,402,247,754, is 1.
Now, the common factors can be found like this.
422:2x 211
668:2x 2x 167
402:2x 3x 67
247:13x 19
754:2x 13x 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 13 = 104
Therefore, the value for common factors is 104.
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 = 21104898393696/(1x104)
LCM = 21104898393696/104
LCM = 202931715324
Thus, we can understand that the LCM of 422,668,402,247,754 is 202931715324.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 422, 668, 402, 247, 754?
Answer: LCM of 422, 668, 402, 247, 754 is 202931715324.
2. How to calculate the LCM of 422, 668, 402, 247, 754?
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 422, 668, 402, 247, 754.
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}.