LCM of 570, 306, 282, 323, 149
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 570, 306, 282, 323, 149 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 570, 306, 282, 323, 149. So, keep reading to learn more.
Given numbers are 570,306,282,323,149
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 570,306,282,323,149 is 203577210.
Find LCM of 570,306,282,323,149 with Prime Factorization
| 2 | 570, 306, 282, 323, 149 |
| 3 | 285, 153, 141, 323, 149 |
| 17 | 95, 51, 47, 323, 149 |
| 19 | 95, 3, 47, 19, 149 |
| 5, 3, 47, 1, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 19 x 5 x 3 x 47 x 1 x 149 = 203577210
Therefore, the lowest common multiple of 570,306,282,323,149 is 203577210.
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.
570 x 306 x 282 x 323 x 149 = 2367195797880
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.
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
282 : 1, 2, 3, 6, 47, 94, 141, 282
323 : 1, 17, 19, 323
149 : 1, 149
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 570,306,282,323,149, is 1.
Now, the common factors can be found like this.
570:2x 3x 5x 19
306:2x 3x 3x 17
282:2x 3x 47
323:17x 19
149:149
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 3x 3x 17x 19 = 11628
Therefore, the value for common factors is 11628.
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 = 2367195797880/(1x11628)
LCM = 2367195797880/11628
LCM = 203577210
Thus, we can understand that the LCM of 570,306,282,323,149 is 203577210.
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FAQs on LCM of 570, 306, 282, 323, 149
1. What is the LCM of 570, 306, 282, 323, 149?
Answer: LCM of 570, 306, 282, 323, 149 is 203577210.
2. How to calculate the LCM of 570, 306, 282, 323, 149?
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 570, 306, 282, 323, 149.
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}.