LCM of 682, 507, 598, 638
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 682, 507, 598, 638 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 682, 507, 598, 638. So, keep reading to learn more.
Given numbers are 682,507,598,638
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,507,598,638 is 230631258.
Find LCM of 682,507,598,638 with Prime Factorization
| 2 | 682, 507, 598, 638 |
| 11 | 341, 507, 299, 319 |
| 13 | 31, 507, 299, 29 |
| 31, 39, 23, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 31 x 39 x 23 x 29 = 230631258
Therefore, the lowest common multiple of 682,507,598,638 is 230631258.
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.
682 x 507 x 598 x 638 = 131921079576
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.
682 : 1, 2, 11, 22, 31, 62, 341, 682
507 : 1, 3, 13, 39, 169, 507
598 : 1, 2, 13, 23, 26, 46, 299, 598
638 : 1, 2, 11, 22, 29, 58, 319, 638
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,507,598,638, is 1.
Now, the common factors can be found like this.
682:2x 11x 31
507:3x 13x 13
598:2x 13x 23
638:2x 11x 29
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 11x 13 = 572
Therefore, the value for common factors is 572.
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 = 131921079576/(1x572)
LCM = 131921079576/572
LCM = 230631258
Thus, we can understand that the LCM of 682,507,598,638 is 230631258.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 682, 507, 598, 638
1. What is the LCM of 682, 507, 598, 638?
Answer: LCM of 682, 507, 598, 638 is 230631258.
2. How to calculate the LCM of 682, 507, 598, 638?
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 682, 507, 598, 638.
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}.