LCM of 564, 285, 200, 423, 296
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 564, 285, 200, 423, 296 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 564, 285, 200, 423, 296. So, keep reading to learn more.
Given numbers are 564,285,200,423,296
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 564,285,200,423,296 is 59473800.
Find LCM of 564,285,200,423,296 with Prime Factorization
| 2 | 564, 285, 200, 423, 296 |
| 2 | 282, 285, 100, 423, 148 |
| 2 | 141, 285, 50, 423, 74 |
| 3 | 141, 285, 25, 423, 37 |
| 5 | 47, 95, 25, 141, 37 |
| 47 | 47, 19, 5, 141, 37 |
| 1, 19, 5, 3, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 47 x 1 x 19 x 5 x 3 x 37 = 59473800
Therefore, the lowest common multiple of 564,285,200,423,296 is 59473800.
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.
564 x 285 x 200 x 423 x 296 = 4025186784000
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.
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
285 : 1, 3, 5, 15, 19, 57, 95, 285
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
423 : 1, 3, 9, 47, 141, 423
296 : 1, 2, 4, 8, 37, 74, 148, 296
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 564,285,200,423,296, is 1.
Now, the common factors can be found like this.
564:2x 2x 3x 47
285:3x 5x 19
200:2x 2x 2x 5x 5
423:3x 3x 47
296:2x 2x 2x 37
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 3x 3x 5x 47 = 67680
Therefore, the value for common factors is 67680.
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 = 4025186784000/(1x67680)
LCM = 4025186784000/67680
LCM = 59473800
Thus, we can understand that the LCM of 564,285,200,423,296 is 59473800.
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FAQs on LCM of 564, 285, 200, 423, 296
1. What is the LCM of 564, 285, 200, 423, 296?
Answer: LCM of 564, 285, 200, 423, 296 is 59473800.
2. How to calculate the LCM of 564, 285, 200, 423, 296?
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 564, 285, 200, 423, 296.
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}.