Find the LCM of 585, 616, 955, 980, 275 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 585, 616, 955, 980, 275. So, keep reading to learn more.
Given numbers are 585,616,955,980,275
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 585,616,955,980,275 is 2409006600.
Find LCM of 585,616,955,980,275 with Prime Factorization
2 | 585, 616, 955, 980, 275 |
2 | 585, 308, 955, 490, 275 |
5 | 585, 154, 955, 245, 275 |
7 | 117, 154, 191, 49, 55 |
11 | 117, 22, 191, 7, 55 |
117, 2, 191, 7, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 11 x 117 x 2 x 191 x 7 x 5 = 2409006600
Therefore, the lowest common multiple of 585,616,955,980,275 is 2409006600.
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.
585 x 616 x 955 x 980 x 275 = 92746754100000
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.
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
955 : 1, 5, 191, 955
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
275 : 1, 5, 11, 25, 55, 275
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,616,955,980,275, is 1.
Now, the common factors can be found like this.
585:3x 3x 5x 13
616:2x 2x 2x 7x 11
955:5x 191
980:2x 2x 5x 7x 7
275:5x 5x 11
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 5x 5x 5x 7x 11 = 38500
Therefore, the value for common factors is 38500.
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 = 92746754100000/(1x38500)
LCM = 92746754100000/38500
LCM = 2409006600
Thus, we can understand that the LCM of 585,616,955,980,275 is 2409006600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 585, 616, 955, 980, 275?
Answer: LCM of 585, 616, 955, 980, 275 is 2409006600.
2. How to calculate the LCM of 585, 616, 955, 980, 275?
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 585, 616, 955, 980, 275.
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}.