LCM of 192, 344, 605, 418, 714
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 192, 344, 605, 418, 714 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 192, 344, 605, 418, 714. So, keep reading to learn more.
Given numbers are 192,344,605,418,714
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 192,344,605,418,714 is 11293423680.
Find LCM of 192,344,605,418,714 with Prime Factorization
| 2 | 192, 344, 605, 418, 714 |
| 2 | 96, 172, 605, 209, 357 |
| 2 | 48, 86, 605, 209, 357 |
| 3 | 24, 43, 605, 209, 357 |
| 11 | 8, 43, 605, 209, 119 |
| 8, 43, 55, 19, 119 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 8 x 43 x 55 x 19 x 119 = 11293423680
Therefore, the lowest common multiple of 192,344,605,418,714 is 11293423680.
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.
192 x 344 x 605 x 418 x 714 = 11925855406080
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.
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
344 : 1, 2, 4, 8, 43, 86, 172, 344
605 : 1, 5, 11, 55, 121, 605
418 : 1, 2, 11, 19, 22, 38, 209, 418
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 192,344,605,418,714, is 1.
Now, the common factors can be found like this.
192:2x 2x 2x 2x 2x 2x 3
344:2x 2x 2x 43
605:5x 11x 11
418:2x 11x 19
714:2x 3x 7x 17
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 2x 3x 11 = 1056
Therefore, the value for common factors is 1056.
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 = 11925855406080/(1x1056)
LCM = 11925855406080/1056
LCM = 11293423680
Thus, we can understand that the LCM of 192,344,605,418,714 is 11293423680.
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FAQs on LCM of 192, 344, 605, 418, 714
1. What is the LCM of 192, 344, 605, 418, 714?
Answer: LCM of 192, 344, 605, 418, 714 is 11293423680.
2. How to calculate the LCM of 192, 344, 605, 418, 714?
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 192, 344, 605, 418, 714.
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}.