LCM of 474, 795, 800, 490, 333
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 474, 795, 800, 490, 333 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, 795, 800, 490, 333. So, keep reading to learn more.
Given numbers are 474,795,800,490,333
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 474,795,800,490,333 is 54655423200.
Find LCM of 474,795,800,490,333 with Prime Factorization
| 2 | 474, 795, 800, 490, 333 |
| 3 | 237, 795, 400, 245, 333 |
| 5 | 79, 265, 400, 245, 111 |
| 79, 53, 80, 49, 111 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 79 x 53 x 80 x 49 x 111 = 54655423200
Therefore, the lowest common multiple of 474,795,800,490,333 is 54655423200.
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 795 x 800 x 490 x 333 = 49189880880000
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
795 : 1, 3, 5, 15, 53, 159, 265, 795
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
333 : 1, 3, 9, 37, 111, 333
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 474,795,800,490,333, is 1.
Now, the common factors can be found like this.
474:2x 3x 79
795:3x 5x 53
800:2x 2x 2x 2x 2x 5x 5
490:2x 5x 7x 7
333:3x 3x 37
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 5 = 900
Therefore, the value for common factors is 900.
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 = 49189880880000/(1x900)
LCM = 49189880880000/900
LCM = 54655423200
Thus, we can understand that the LCM of 474,795,800,490,333 is 54655423200.
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FAQs on LCM of 474, 795, 800, 490, 333
1. What is the LCM of 474, 795, 800, 490, 333?
Answer: LCM of 474, 795, 800, 490, 333 is 54655423200.
2. How to calculate the LCM of 474, 795, 800, 490, 333?
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, 795, 800, 490, 333.
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}.