LCM of 647, 611, 450, 300, 596
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 647, 611, 450, 300, 596 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 647, 611, 450, 300, 596. So, keep reading to learn more.
Given numbers are 647,611,450,300,596
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 647,611,450,300,596 is 53012009700.
Find LCM of 647,611,450,300,596 with Prime Factorization
| 2 | 647, 611, 450, 300, 596 |
| 2 | 647, 611, 225, 150, 298 |
| 3 | 647, 611, 225, 75, 149 |
| 5 | 647, 611, 25, 75, 149 |
| 5 | 647, 611, 5, 15, 149 |
| 647, 611, 1, 3, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 5 x 647 x 611 x 1 x 3 x 149 = 53012009700
Therefore, the lowest common multiple of 647,611,450,300,596 is 53012009700.
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.
647 x 611 x 450 x 300 x 596 = 31807205820000
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.
647 : 1, 647
611 : 1, 13, 47, 611
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
596 : 1, 2, 4, 149, 298, 596
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 647,611,450,300,596, is 1.
Now, the common factors can be found like this.
647:647
611:13x 47
450:2x 3x 3x 5x 5
300:2x 2x 3x 5x 5
596:2x 2x 149
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 5x 5 = 600
Therefore, the value for common factors is 600.
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 = 31807205820000/(1x600)
LCM = 31807205820000/600
LCM = 53012009700
Thus, we can understand that the LCM of 647,611,450,300,596 is 53012009700.
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FAQs on LCM of 647, 611, 450, 300, 596
1. What is the LCM of 647, 611, 450, 300, 596?
Answer: LCM of 647, 611, 450, 300, 596 is 53012009700.
2. How to calculate the LCM of 647, 611, 450, 300, 596?
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 647, 611, 450, 300, 596.
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}.