LCM of 682, 648, 418, 920, 342
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 682, 648, 418, 920, 342 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, 648, 418, 920, 342. So, keep reading to learn more.
Given numbers are 682,648,418,920,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,648,418,920,342 is 482815080.
Find LCM of 682,648,418,920,342 with Prime Factorization
| 2 | 682, 648, 418, 920, 342 |
| 2 | 341, 324, 209, 460, 171 |
| 2 | 341, 162, 209, 230, 171 |
| 3 | 341, 81, 209, 115, 171 |
| 3 | 341, 27, 209, 115, 57 |
| 11 | 341, 9, 209, 115, 19 |
| 19 | 31, 9, 19, 115, 19 |
| 31, 9, 1, 115, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 11 x 19 x 31 x 9 x 1 x 115 x 1 = 482815080
Therefore, the lowest common multiple of 682,648,418,920,342 is 482815080.
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 648 x 418 x 920 x 342 = 58123210590720
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
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
418 : 1, 2, 11, 19, 22, 38, 209, 418
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,648,418,920,342, is 2.
Now, the common factors can be found like this.
682:2x 11x 31
648:2x 2x 2x 3x 3x 3x 3
418:2x 11x 19
920:2x 2x 2x 5x 23
342:2x 3x 3x 19
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 2x 2x 2x 3x 3x 11x 19 = 60192
Therefore, the value for common factors is 60192.
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 = 58123210590720/(2x60192)
LCM = 58123210590720/120384
LCM = 482815080
Thus, we can understand that the LCM of 682,648,418,920,342 is 482815080.
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FAQs on LCM of 682, 648, 418, 920, 342
1. What is the LCM of 682, 648, 418, 920, 342?
Answer: LCM of 682, 648, 418, 920, 342 is 482815080.
2. How to calculate the LCM of 682, 648, 418, 920, 342?
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, 648, 418, 920, 342.
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}.