LCM of 474, 675, 846, 898, 490
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 474, 675, 846, 898, 490 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, 675, 846, 898, 490. So, keep reading to learn more.
Given numbers are 474,675,846,898,490
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 474,675,846,898,490 is 110281112550.
Find LCM of 474,675,846,898,490 with Prime Factorization
| 2 | 474, 675, 846, 898, 490 |
| 3 | 237, 675, 423, 449, 245 |
| 3 | 79, 225, 141, 449, 245 |
| 5 | 79, 75, 47, 449, 245 |
| 79, 15, 47, 449, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 79 x 15 x 47 x 449 x 49 = 110281112550
Therefore, the lowest common multiple of 474,675,846,898,490 is 110281112550.
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 675 x 846 x 898 x 490 = 119103601554000
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
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
898 : 1, 2, 449, 898
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 474,675,846,898,490, is 1.
Now, the common factors can be found like this.
474:2x 3x 79
675:3x 3x 3x 5x 5
846:2x 3x 3x 47
898:2x 449
490:2x 5x 7x 7
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 3x 3x 3x 5 = 1080
Therefore, the value for common factors is 1080.
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 = 119103601554000/(1x1080)
LCM = 119103601554000/1080
LCM = 110281112550
Thus, we can understand that the LCM of 474,675,846,898,490 is 110281112550.
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FAQs on LCM of 474, 675, 846, 898, 490
1. What is the LCM of 474, 675, 846, 898, 490?
Answer: LCM of 474, 675, 846, 898, 490 is 110281112550.
2. How to calculate the LCM of 474, 675, 846, 898, 490?
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, 675, 846, 898, 490.
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}.