LCM of 307, 684, 578, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 307, 684, 578, 414 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 307, 684, 578, 414. So, keep reading to learn more.
Given numbers are 307,684,578,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 307,684,578,414 is 1395790236.
Find LCM of 307,684,578,414 with Prime Factorization
| 2 | 307, 684, 578, 414 |
| 3 | 307, 342, 289, 207 |
| 3 | 307, 114, 289, 69 |
| 307, 38, 289, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 307 x 38 x 289 x 23 = 1395790236
Therefore, the lowest common multiple of 307,684,578,414 is 1395790236.
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.
307 x 684 x 578 x 414 = 50248448496
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.
307 : 1, 307
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
578 : 1, 2, 17, 34, 289, 578
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 307,684,578,414, is 1.
Now, the common factors can be found like this.
307:307
684:2x 2x 3x 3x 19
578:2x 17x 17
414:2x 3x 3x 23
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 3 = 36
Therefore, the value for common factors is 36.
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 = 50248448496/(1x36)
LCM = 50248448496/36
LCM = 1395790236
Thus, we can understand that the LCM of 307,684,578,414 is 1395790236.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 307, 684, 578, 414
1. What is the LCM of 307, 684, 578, 414?
Answer: LCM of 307, 684, 578, 414 is 1395790236.
2. How to calculate the LCM of 307, 684, 578, 414?
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 307, 684, 578, 414.
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}.