LCM of 682, 957, 633, 651, 318
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 682, 957, 633, 651, 318 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, 957, 633, 651, 318. So, keep reading to learn more.
Given numbers are 682,957,633,651,318
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,957,633,651,318 is 4644724854.
Find LCM of 682,957,633,651,318 with Prime Factorization
| 2 | 682, 957, 633, 651, 318 |
| 3 | 341, 957, 633, 651, 159 |
| 11 | 341, 319, 211, 217, 53 |
| 31 | 31, 29, 211, 217, 53 |
| 1, 29, 211, 7, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 31 x 1 x 29 x 211 x 7 x 53 = 4644724854
Therefore, the lowest common multiple of 682,957,633,651,318 is 4644724854.
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 957 x 633 x 651 x 318 = 85527963461556
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
957 : 1, 3, 11, 29, 33, 87, 319, 957
633 : 1, 3, 211, 633
651 : 1, 3, 7, 21, 31, 93, 217, 651
318 : 1, 2, 3, 6, 53, 106, 159, 318
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,957,633,651,318, is 1.
Now, the common factors can be found like this.
682:2x 11x 31
957:3x 11x 29
633:3x 211
651:3x 7x 31
318:2x 3x 53
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 11x 31 = 18414
Therefore, the value for common factors is 18414.
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 = 85527963461556/(1x18414)
LCM = 85527963461556/18414
LCM = 4644724854
Thus, we can understand that the LCM of 682,957,633,651,318 is 4644724854.
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FAQs on LCM of 682, 957, 633, 651, 318
1. What is the LCM of 682, 957, 633, 651, 318?
Answer: LCM of 682, 957, 633, 651, 318 is 4644724854.
2. How to calculate the LCM of 682, 957, 633, 651, 318?
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, 957, 633, 651, 318.
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}.