LCM of 255, 510, 578, 986, 685
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 255, 510, 578, 986, 685 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 255, 510, 578, 986, 685. So, keep reading to learn more.
Given numbers are 255,510,578,986,685
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 255,510,578,986,685 is 34445910.
Find LCM of 255,510,578,986,685 with Prime Factorization
| 2 | 255, 510, 578, 986, 685 |
| 3 | 255, 255, 289, 493, 685 |
| 5 | 85, 85, 289, 493, 685 |
| 17 | 17, 17, 289, 493, 137 |
| 1, 1, 17, 29, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 1 x 1 x 17 x 29 x 137 = 34445910
Therefore, the lowest common multiple of 255,510,578,986,685 is 34445910.
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.
255 x 510 x 578 x 986 x 685 = 50769826749000
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.
255 : 1, 3, 5, 15, 17, 51, 85, 255
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
578 : 1, 2, 17, 34, 289, 578
986 : 1, 2, 17, 29, 34, 58, 493, 986
685 : 1, 5, 137, 685
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 255,510,578,986,685, is 1.
Now, the common factors can be found like this.
255:3x 5x 17
510:2x 3x 5x 17
578:2x 17x 17
986:2x 17x 29
685:5x 137
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 17x 17x 17 = 1473900
Therefore, the value for common factors is 1473900.
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 = 50769826749000/(1x1473900)
LCM = 50769826749000/1473900
LCM = 34445910
Thus, we can understand that the LCM of 255,510,578,986,685 is 34445910.
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FAQs on LCM of 255, 510, 578, 986, 685
1. What is the LCM of 255, 510, 578, 986, 685?
Answer: LCM of 255, 510, 578, 986, 685 is 34445910.
2. How to calculate the LCM of 255, 510, 578, 986, 685?
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 255, 510, 578, 986, 685.
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}.