Find the LCM of 657, 383, 668, 508, 474 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 657, 383, 668, 508, 474. So, keep reading to learn more.
Given numbers are 657,383,668,508,474
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 657,383,668,508,474 is 1686442033764.
Find LCM of 657,383,668,508,474 with Prime Factorization
2 | 657, 383, 668, 508, 474 |
2 | 657, 383, 334, 254, 237 |
3 | 657, 383, 167, 127, 237 |
219, 383, 167, 127, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 219 x 383 x 167 x 127 x 79 = 1686442033764
Therefore, the lowest common multiple of 657,383,668,508,474 is 1686442033764.
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.
657 x 383 x 668 x 508 x 474 = 40474608810336
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.
657 : 1, 3, 9, 73, 219, 657
383 : 1, 383
668 : 1, 2, 4, 167, 334, 668
508 : 1, 2, 4, 127, 254, 508
474 : 1, 2, 3, 6, 79, 158, 237, 474
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 657,383,668,508,474, is 1.
Now, the common factors can be found like this.
657:3x 3x 73
383:383
668:2x 2x 167
508:2x 2x 127
474:2x 3x 79
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 3 = 24
Therefore, the value for common factors is 24.
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 = 40474608810336/(1x24)
LCM = 40474608810336/24
LCM = 1686442033764
Thus, we can understand that the LCM of 657,383,668,508,474 is 1686442033764.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 657, 383, 668, 508, 474?
Answer: LCM of 657, 383, 668, 508, 474 is 1686442033764.
2. How to calculate the LCM of 657, 383, 668, 508, 474?
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 657, 383, 668, 508, 474.
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}.