LCM of 949, 612, 200, 585
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 949, 612, 200, 585 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 949, 612, 200, 585. So, keep reading to learn more.
Given numbers are 949,612,200,585
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 949,612,200,585 is 29039400.
Find LCM of 949,612,200,585 with Prime Factorization
| 2 | 949, 612, 200, 585 |
| 2 | 949, 306, 100, 585 |
| 3 | 949, 153, 50, 585 |
| 3 | 949, 51, 50, 195 |
| 5 | 949, 17, 50, 65 |
| 13 | 949, 17, 10, 13 |
| 73, 17, 10, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 13 x 73 x 17 x 10 x 1 = 29039400
Therefore, the lowest common multiple of 949,612,200,585 is 29039400.
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.
949 x 612 x 200 x 585 = 67952196000
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.
949 : 1, 13, 73, 949
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 949,612,200,585, is 1.
Now, the common factors can be found like this.
949:13x 73
612:2x 2x 3x 3x 17
200:2x 2x 2x 5x 5
585:3x 3x 5x 13
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 13 = 2340
Therefore, the value for common factors is 2340.
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 = 67952196000/(1x2340)
LCM = 67952196000/2340
LCM = 29039400
Thus, we can understand that the LCM of 949,612,200,585 is 29039400.
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FAQs on LCM of 949, 612, 200, 585
1. What is the LCM of 949, 612, 200, 585?
Answer: LCM of 949, 612, 200, 585 is 29039400.
2. How to calculate the LCM of 949, 612, 200, 585?
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 949, 612, 200, 585.
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}.