LCM of 705, 656, 609, 489, 328
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 705, 656, 609, 489, 328 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 705, 656, 609, 489, 328. So, keep reading to learn more.
Given numbers are 705,656,609,489,328
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,656,609,489,328 is 15303000720.
Find LCM of 705,656,609,489,328 with Prime Factorization
| 2 | 705, 656, 609, 489, 328 |
| 2 | 705, 328, 609, 489, 164 |
| 2 | 705, 82, 609, 489, 164 |
| 3 | 705, 41, 609, 489, 82 |
| 41 | 235, 41, 203, 163, 82 |
| 235, 1, 203, 163, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 41 x 235 x 1 x 203 x 163 x 2 = 15303000720
Therefore, the lowest common multiple of 705,656,609,489,328 is 15303000720.
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.
705 x 656 x 609 x 489 x 328 = 45174458125440
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.
705 : 1, 3, 5, 15, 47, 141, 235, 705
656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656
609 : 1, 3, 7, 21, 29, 87, 203, 609
489 : 1, 3, 163, 489
328 : 1, 2, 4, 8, 41, 82, 164, 328
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,656,609,489,328, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
656:2x 2x 2x 2x 41
609:3x 7x 29
489:3x 163
328:2x 2x 2x 41
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 3x 41 = 2952
Therefore, the value for common factors is 2952.
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 = 45174458125440/(1x2952)
LCM = 45174458125440/2952
LCM = 15303000720
Thus, we can understand that the LCM of 705,656,609,489,328 is 15303000720.
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FAQs on LCM of 705, 656, 609, 489, 328
1. What is the LCM of 705, 656, 609, 489, 328?
Answer: LCM of 705, 656, 609, 489, 328 is 15303000720.
2. How to calculate the LCM of 705, 656, 609, 489, 328?
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 705, 656, 609, 489, 328.
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}.