LCM of 285, 602, 238, 441, 570
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 285, 602, 238, 441, 570 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 285, 602, 238, 441, 570. So, keep reading to learn more.
Given numbers are 285,602,238,441,570
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 285,602,238,441,570 is 61250490.
Find LCM of 285,602,238,441,570 with Prime Factorization
| 2 | 285, 602, 238, 441, 570 |
| 3 | 285, 301, 119, 441, 285 |
| 5 | 95, 301, 119, 147, 95 |
| 7 | 19, 301, 119, 147, 19 |
| 19 | 19, 43, 17, 21, 19 |
| 1, 43, 17, 21, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 19 x 1 x 43 x 17 x 21 x 1 = 61250490
Therefore, the lowest common multiple of 285,602,238,441,570 is 61250490.
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.
285 x 602 x 238 x 441 x 570 = 10264357114200
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.
285 : 1, 3, 5, 15, 19, 57, 95, 285
602 : 1, 2, 7, 14, 43, 86, 301, 602
238 : 1, 2, 7, 14, 17, 34, 119, 238
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 285,602,238,441,570, is 1.
Now, the common factors can be found like this.
285:3x 5x 19
602:2x 7x 43
238:2x 7x 17
441:3x 3x 7x 7
570:2x 3x 5x 19
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 5x 7x 7x 19 = 167580
Therefore, the value for common factors is 167580.
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 = 10264357114200/(1x167580)
LCM = 10264357114200/167580
LCM = 61250490
Thus, we can understand that the LCM of 285,602,238,441,570 is 61250490.
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FAQs on LCM of 285, 602, 238, 441, 570
1. What is the LCM of 285, 602, 238, 441, 570?
Answer: LCM of 285, 602, 238, 441, 570 is 61250490.
2. How to calculate the LCM of 285, 602, 238, 441, 570?
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 285, 602, 238, 441, 570.
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}.