LCM of 987, 522, 429, 338, 507
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 987, 522, 429, 338, 507 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 987, 522, 429, 338, 507. So, keep reading to learn more.
Given numbers are 987,522,429,338,507
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 987,522,429,338,507 is 319260942.
Find LCM of 987,522,429,338,507 with Prime Factorization
| 2 | 987, 522, 429, 338, 507 |
| 3 | 987, 261, 429, 169, 507 |
| 13 | 329, 87, 143, 169, 169 |
| 13 | 329, 87, 11, 13, 13 |
| 329, 87, 11, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 13 x 329 x 87 x 11 x 1 x 1 = 319260942
Therefore, the lowest common multiple of 987,522,429,338,507 is 319260942.
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.
987 x 522 x 429 x 338 x 507 = 37876479636996
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.
987 : 1, 3, 7, 21, 47, 141, 329, 987
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
429 : 1, 3, 11, 13, 33, 39, 143, 429
338 : 1, 2, 13, 26, 169, 338
507 : 1, 3, 13, 39, 169, 507
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,522,429,338,507, is 1.
Now, the common factors can be found like this.
987:3x 7x 47
522:2x 3x 3x 29
429:3x 11x 13
338:2x 13x 13
507:3x 13x 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 3x 3x 3x 13x 13x 13 = 118638
Therefore, the value for common factors is 118638.
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 = 37876479636996/(1x118638)
LCM = 37876479636996/118638
LCM = 319260942
Thus, we can understand that the LCM of 987,522,429,338,507 is 319260942.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 987, 522, 429, 338, 507
1. What is the LCM of 987, 522, 429, 338, 507?
Answer: LCM of 987, 522, 429, 338, 507 is 319260942.
2. How to calculate the LCM of 987, 522, 429, 338, 507?
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 987, 522, 429, 338, 507.
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}.