LCM of 394, 312, 267, 712, 249
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 394, 312, 267, 712, 249 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 394, 312, 267, 712, 249. So, keep reading to learn more.
Given numbers are 394,312,267,712,249
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 394,312,267,712,249 is 454034568.
Find LCM of 394,312,267,712,249 with Prime Factorization
| 2 | 394, 312, 267, 712, 249 |
| 2 | 197, 156, 267, 356, 249 |
| 2 | 197, 78, 267, 178, 249 |
| 3 | 197, 39, 267, 89, 249 |
| 89 | 197, 13, 89, 89, 83 |
| 197, 13, 1, 1, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 89 x 197 x 13 x 1 x 1 x 83 = 454034568
Therefore, the lowest common multiple of 394,312,267,712,249 is 454034568.
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.
394 x 312 x 267 x 712 x 249 = 5818907023488
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.
394 : 1, 2, 197, 394
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
267 : 1, 3, 89, 267
712 : 1, 2, 4, 8, 89, 178, 356, 712
249 : 1, 3, 83, 249
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 394,312,267,712,249, is 1.
Now, the common factors can be found like this.
394:2x 197
312:2x 2x 2x 3x 13
267:3x 89
712:2x 2x 2x 89
249:3x 83
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 89 = 12816
Therefore, the value for common factors is 12816.
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 = 5818907023488/(1x12816)
LCM = 5818907023488/12816
LCM = 454034568
Thus, we can understand that the LCM of 394,312,267,712,249 is 454034568.
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FAQs on LCM of 394, 312, 267, 712, 249
1. What is the LCM of 394, 312, 267, 712, 249?
Answer: LCM of 394, 312, 267, 712, 249 is 454034568.
2. How to calculate the LCM of 394, 312, 267, 712, 249?
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 394, 312, 267, 712, 249.
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}.