LCM of 270, 570, 950, 850
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 270, 570, 950, 850 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 270, 570, 950, 850. So, keep reading to learn more.
Given numbers are 270,570,950,850
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 270,570,950,850 is 436050.
Find LCM of 270,570,950,850 with Prime Factorization
| 2 | 270, 570, 950, 850 |
| 3 | 135, 285, 475, 425 |
| 5 | 45, 95, 475, 425 |
| 5 | 9, 19, 95, 85 |
| 19 | 9, 19, 19, 17 |
| 9, 1, 1, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 19 x 9 x 1 x 1 x 17 = 436050
Therefore, the lowest common multiple of 270,570,950,850 is 436050.
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.
270 x 570 x 950 x 850 = 124274250000
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.
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
10 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 270,570,950,850, is 10.
Now, the common factors can be found like this.
270:2x 3x 3x 3x 5
570:2x 3x 5x 19
950:2x 5x 5x 19
850:2x 5x 5x 17
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 5x 5x 5x 19 = 28500
Therefore, the value for common factors is 28500.
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 = 124274250000/(10x28500)
LCM = 124274250000/285000
LCM = 436050
Thus, we can understand that the LCM of 270,570,950,850 is 436050.
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FAQs on LCM of 270, 570, 950, 850
1. What is the LCM of 270, 570, 950, 850?
Answer: LCM of 270, 570, 950, 850 is 436050.
2. How to calculate the LCM of 270, 570, 950, 850?
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 270, 570, 950, 850.
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}.