Find the LCM of 531, 478, 302, 408, 654 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 531, 478, 302, 408, 654. So, keep reading to learn more.
Given numbers are 531,478,302,408,654
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 531,478,302,408,654 is 284076151416.
Find LCM of 531,478,302,408,654 with Prime Factorization
2 | 531, 478, 302, 408, 654 |
3 | 531, 239, 151, 204, 327 |
177, 239, 151, 68, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 177 x 239 x 151 x 68 x 109 = 284076151416
Therefore, the lowest common multiple of 531,478,302,408,654 is 284076151416.
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.
531 x 478 x 302 x 408 x 654 = 20453482901952
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.
531 : 1, 3, 9, 59, 177, 531
478 : 1, 2, 239, 478
302 : 1, 2, 151, 302
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
654 : 1, 2, 3, 6, 109, 218, 327, 654
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 531,478,302,408,654, is 1.
Now, the common factors can be found like this.
531:3x 3x 59
478:2x 239
302:2x 151
408:2x 2x 2x 3x 17
654:2x 3x 109
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 3x 3 = 72
Therefore, the value for common factors is 72.
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 = 20453482901952/(1x72)
LCM = 20453482901952/72
LCM = 284076151416
Thus, we can understand that the LCM of 531,478,302,408,654 is 284076151416.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 531, 478, 302, 408, 654?
Answer: LCM of 531, 478, 302, 408, 654 is 284076151416.
2. How to calculate the LCM of 531, 478, 302, 408, 654?
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 531, 478, 302, 408, 654.
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}.