LCM of 368, 687, 424, 414, 309
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 368, 687, 424, 414, 309 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 368, 687, 424, 414, 309. So, keep reading to learn more.
Given numbers are 368,687,424,414,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 368,687,424,414,309 is 4140367632.
Find LCM of 368,687,424,414,309 with Prime Factorization
| 2 | 368, 687, 424, 414, 309 |
| 2 | 184, 687, 212, 207, 309 |
| 2 | 92, 687, 106, 207, 309 |
| 3 | 46, 687, 53, 207, 309 |
| 23 | 46, 229, 53, 69, 103 |
| 2, 229, 53, 3, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 23 x 2 x 229 x 53 x 3 x 103 = 4140367632
Therefore, the lowest common multiple of 368,687,424,414,309 is 4140367632.
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.
368 x 687 x 424 x 414 x 309 = 13712897597184
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.
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
687 : 1, 3, 229, 687
424 : 1, 2, 4, 8, 53, 106, 212, 424
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
309 : 1, 3, 103, 309
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,687,424,414,309, is 1.
Now, the common factors can be found like this.
368:2x 2x 2x 2x 23
687:3x 229
424:2x 2x 2x 53
414:2x 3x 3x 23
309:3x 103
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 3x 3x 23 = 3312
Therefore, the value for common factors is 3312.
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 = 13712897597184/(1x3312)
LCM = 13712897597184/3312
LCM = 4140367632
Thus, we can understand that the LCM of 368,687,424,414,309 is 4140367632.
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FAQs on LCM of 368, 687, 424, 414, 309
1. What is the LCM of 368, 687, 424, 414, 309?
Answer: LCM of 368, 687, 424, 414, 309 is 4140367632.
2. How to calculate the LCM of 368, 687, 424, 414, 309?
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 368, 687, 424, 414, 309.
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}.