LCM of 385, 684, 209, 436, 678
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 385, 684, 209, 436, 678 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 385, 684, 209, 436, 678. So, keep reading to learn more.
Given numbers are 385,684,209,436,678
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 385,684,209,436,678 is 3243558780.
Find LCM of 385,684,209,436,678 with Prime Factorization
| 2 | 385, 684, 209, 436, 678 |
| 2 | 385, 342, 209, 218, 339 |
| 3 | 385, 171, 209, 109, 339 |
| 11 | 385, 57, 209, 109, 113 |
| 19 | 35, 57, 19, 109, 113 |
| 35, 3, 1, 109, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 19 x 35 x 3 x 1 x 109 x 113 = 3243558780
Therefore, the lowest common multiple of 385,684,209,436,678 is 3243558780.
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.
385 x 684 x 209 x 436 x 678 = 16269690840480
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.
385 : 1, 5, 7, 11, 35, 55, 77, 385
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
209 : 1, 11, 19, 209
436 : 1, 2, 4, 109, 218, 436
678 : 1, 2, 3, 6, 113, 226, 339, 678
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 385,684,209,436,678, is 1.
Now, the common factors can be found like this.
385:5x 7x 11
684:2x 2x 3x 3x 19
209:11x 19
436:2x 2x 109
678:2x 3x 113
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 3x 11x 19 = 5016
Therefore, the value for common factors is 5016.
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 = 16269690840480/(1x5016)
LCM = 16269690840480/5016
LCM = 3243558780
Thus, we can understand that the LCM of 385,684,209,436,678 is 3243558780.
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FAQs on LCM of 385, 684, 209, 436, 678
1. What is the LCM of 385, 684, 209, 436, 678?
Answer: LCM of 385, 684, 209, 436, 678 is 3243558780.
2. How to calculate the LCM of 385, 684, 209, 436, 678?
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 385, 684, 209, 436, 678.
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}.