LCM of 678, 393, 718, 494, 323
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 678, 393, 718, 494, 323 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 678, 393, 718, 494, 323. So, keep reading to learn more.
Given numbers are 678,393,718,494,323
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 678,393,718,494,323 is 133887894738.
Find LCM of 678,393,718,494,323 with Prime Factorization
| 2 | 678, 393, 718, 494, 323 |
| 3 | 339, 393, 359, 247, 323 |
| 19 | 113, 131, 359, 247, 323 |
| 113, 131, 359, 13, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 113 x 131 x 359 x 13 x 17 = 133887894738
Therefore, the lowest common multiple of 678,393,718,494,323 is 133887894738.
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.
678 x 393 x 718 x 494 x 323 = 30526440000264
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.
678 : 1, 2, 3, 6, 113, 226, 339, 678
393 : 1, 3, 131, 393
718 : 1, 2, 359, 718
494 : 1, 2, 13, 19, 26, 38, 247, 494
323 : 1, 17, 19, 323
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,393,718,494,323, is 1.
Now, the common factors can be found like this.
678:2x 3x 113
393:3x 131
718:2x 359
494:2x 13x 19
323:17x 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 3x 19 = 228
Therefore, the value for common factors is 228.
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 = 30526440000264/(1x228)
LCM = 30526440000264/228
LCM = 133887894738
Thus, we can understand that the LCM of 678,393,718,494,323 is 133887894738.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 678, 393, 718, 494, 323
1. What is the LCM of 678, 393, 718, 494, 323?
Answer: LCM of 678, 393, 718, 494, 323 is 133887894738.
2. How to calculate the LCM of 678, 393, 718, 494, 323?
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 678, 393, 718, 494, 323.
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}.