LCM of 571, 144, 630, 306, 400
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 571, 144, 630, 306, 400 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 571, 144, 630, 306, 400. So, keep reading to learn more.
Given numbers are 571,144,630,306,400
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 571,144,630,306,400 is 244616400.
Find LCM of 571,144,630,306,400 with Prime Factorization
| 2 | 571, 144, 630, 306, 400 |
| 2 | 571, 72, 315, 153, 200 |
| 2 | 571, 36, 315, 153, 100 |
| 2 | 571, 18, 315, 153, 50 |
| 3 | 571, 9, 315, 153, 25 |
| 3 | 571, 3, 105, 51, 25 |
| 5 | 571, 1, 35, 17, 25 |
| 571, 1, 7, 17, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 5 x 571 x 1 x 7 x 17 x 5 = 244616400
Therefore, the lowest common multiple of 571,144,630,306,400 is 244616400.
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.
571 x 144 x 630 x 306 x 400 = 6340457088000
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.
571 : 1, 571
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 571,144,630,306,400, is 1.
Now, the common factors can be found like this.
571:571
144:2x 2x 2x 2x 3x 3
630:2x 3x 3x 5x 7
306:2x 3x 3x 17
400:2x 2x 2x 2x 5x 5
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 2x 2x 2x 3x 3x 3x 3x 5 = 25920
Therefore, the value for common factors is 25920.
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 = 6340457088000/(1x25920)
LCM = 6340457088000/25920
LCM = 244616400
Thus, we can understand that the LCM of 571,144,630,306,400 is 244616400.
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FAQs on LCM of 571, 144, 630, 306, 400
1. What is the LCM of 571, 144, 630, 306, 400?
Answer: LCM of 571, 144, 630, 306, 400 is 244616400.
2. How to calculate the LCM of 571, 144, 630, 306, 400?
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 571, 144, 630, 306, 400.
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}.