LCM of 508, 510, 986, 153
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 508, 510, 986, 153 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 508, 510, 986, 153. So, keep reading to learn more.
Given numbers are 508,510,986,153
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 508,510,986,153 is 11269980.
Find LCM of 508,510,986,153 with Prime Factorization
| 2 | 508, 510, 986, 153 |
| 3 | 254, 255, 493, 153 |
| 17 | 254, 85, 493, 51 |
| 254, 5, 29, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 254 x 5 x 29 x 3 = 11269980
Therefore, the lowest common multiple of 508,510,986,153 is 11269980.
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.
508 x 510 x 986 x 153 = 39084290640
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.
508 : 1, 2, 4, 127, 254, 508
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
986 : 1, 2, 17, 29, 34, 58, 493, 986
153 : 1, 3, 9, 17, 51, 153
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,510,986,153, is 1.
Now, the common factors can be found like this.
508:2x 2x 127
510:2x 3x 5x 17
986:2x 17x 29
153:3x 3x 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 17x 17 = 3468
Therefore, the value for common factors is 3468.
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 = 39084290640/(1x3468)
LCM = 39084290640/3468
LCM = 11269980
Thus, we can understand that the LCM of 508,510,986,153 is 11269980.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 508, 510, 986, 153
1. What is the LCM of 508, 510, 986, 153?
Answer: LCM of 508, 510, 986, 153 is 11269980.
2. How to calculate the LCM of 508, 510, 986, 153?
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 508, 510, 986, 153.
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}.