LCM of 474, 840, 682, 605, 273
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 474, 840, 682, 605, 273 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 474, 840, 682, 605, 273. So, keep reading to learn more.
Given numbers are 474,840,682,605,273
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 474,840,682,605,273 is 3235912680.
Find LCM of 474,840,682,605,273 with Prime Factorization
| 2 | 474, 840, 682, 605, 273 |
| 3 | 237, 420, 341, 605, 273 |
| 5 | 79, 140, 341, 605, 91 |
| 7 | 79, 28, 341, 121, 91 |
| 11 | 79, 4, 341, 121, 13 |
| 79, 4, 31, 11, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 11 x 79 x 4 x 31 x 11 x 13 = 3235912680
Therefore, the lowest common multiple of 474,840,682,605,273 is 3235912680.
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.
474 x 840 x 682 x 605 x 273 = 44849749744800
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.
474 : 1, 2, 3, 6, 79, 158, 237, 474
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
682 : 1, 2, 11, 22, 31, 62, 341, 682
605 : 1, 5, 11, 55, 121, 605
273 : 1, 3, 7, 13, 21, 39, 91, 273
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 474,840,682,605,273, is 1.
Now, the common factors can be found like this.
474:2x 3x 79
840:2x 2x 2x 3x 5x 7
682:2x 11x 31
605:5x 11x 11
273:3x 7x 13
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 3x 5x 7x 11 = 13860
Therefore, the value for common factors is 13860.
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 = 44849749744800/(1x13860)
LCM = 44849749744800/13860
LCM = 3235912680
Thus, we can understand that the LCM of 474,840,682,605,273 is 3235912680.
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FAQs on LCM of 474, 840, 682, 605, 273
1. What is the LCM of 474, 840, 682, 605, 273?
Answer: LCM of 474, 840, 682, 605, 273 is 3235912680.
2. How to calculate the LCM of 474, 840, 682, 605, 273?
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 474, 840, 682, 605, 273.
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}.