Find the LCM of 304, 551, 489, 387, 671 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 304, 551, 489, 387, 671. So, keep reading to learn more.
Given numbers are 304,551,489,387,671
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 304,551,489,387,671 is 373157926416.
Find LCM of 304,551,489,387,671 with Prime Factorization
3 | 304, 551, 489, 387, 671 |
19 | 304, 551, 163, 129, 671 |
16, 29, 163, 129, 671 |
Multiply the prime numbers at the bottom and the left side.
3 x 19 x 16 x 29 x 163 x 129 x 671 = 373157926416
Therefore, the lowest common multiple of 304,551,489,387,671 is 373157926416.
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.
304 x 551 x 489 x 387 x 671 = 21270001805712
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.
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
551 : 1, 19, 29, 551
489 : 1, 3, 163, 489
387 : 1, 3, 9, 43, 129, 387
671 : 1, 11, 61, 671
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,551,489,387,671, is 1.
Now, the common factors can be found like this.
304:2x 2x 2x 2x 19
551:19x 29
489:3x 163
387:3x 3x 43
671:11x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 19 = 57
Therefore, the value for common factors is 57.
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 = 21270001805712/(1x57)
LCM = 21270001805712/57
LCM = 373157926416
Thus, we can understand that the LCM of 304,551,489,387,671 is 373157926416.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 304, 551, 489, 387, 671?
Answer: LCM of 304, 551, 489, 387, 671 is 373157926416.
2. How to calculate the LCM of 304, 551, 489, 387, 671?
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 304, 551, 489, 387, 671.
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}.