LCM of 192, 682, 496, 907, 491
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 192, 682, 496, 907, 491 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, 682, 496, 907, 491. So, keep reading to learn more.
Given numbers are 192,682,496,907,491
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 192,682,496,907,491 is 29157104064.
Find LCM of 192,682,496,907,491 with Prime Factorization
| 2 | 192, 682, 496, 907, 491 |
| 2 | 96, 341, 248, 907, 491 |
| 2 | 48, 341, 124, 907, 491 |
| 2 | 24, 341, 62, 907, 491 |
| 31 | 12, 341, 31, 907, 491 |
| 12, 11, 1, 907, 491 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 31 x 12 x 11 x 1 x 907 x 491 = 29157104064
Therefore, the lowest common multiple of 192,682,496,907,491 is 29157104064.
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 682 x 496 x 907 x 491 = 28923847231488
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
682 : 1, 2, 11, 22, 31, 62, 341, 682
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
907 : 1, 907
491 : 1, 491
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 192,682,496,907,491, is 1.
Now, the common factors can be found like this.
192:2x 2x 2x 2x 2x 2x 3
682:2x 11x 31
496:2x 2x 2x 2x 31
907:907
491:491
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 31 = 992
Therefore, the value for common factors is 992.
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 = 28923847231488/(1x992)
LCM = 28923847231488/992
LCM = 29157104064
Thus, we can understand that the LCM of 192,682,496,907,491 is 29157104064.
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FAQs on LCM of 192, 682, 496, 907, 491
1. What is the LCM of 192, 682, 496, 907, 491?
Answer: LCM of 192, 682, 496, 907, 491 is 29157104064.
2. How to calculate the LCM of 192, 682, 496, 907, 491?
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, 682, 496, 907, 491.
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}.