LCM of 477, 846, 333, 111, 321
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 477, 846, 333, 111, 321 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 477, 846, 333, 111, 321. So, keep reading to learn more.
Given numbers are 477,846,333,111,321
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 477,846,333,111,321 is 177513642.
Find LCM of 477,846,333,111,321 with Prime Factorization
| 3 | 477, 846, 333, 111, 321 |
| 3 | 159, 282, 111, 37, 107 |
| 37 | 53, 94, 37, 37, 107 |
| 53, 94, 1, 1, 107 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 37 x 53 x 94 x 1 x 1 x 107 = 177513642
Therefore, the lowest common multiple of 477,846,333,111,321 is 177513642.
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.
477 x 846 x 333 x 111 x 321 = 4788075465666
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.
477 : 1, 3, 9, 53, 159, 477
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
333 : 1, 3, 9, 37, 111, 333
111 : 1, 3, 37, 111
321 : 1, 3, 107, 321
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 477,846,333,111,321, is 3.
Now, the common factors can be found like this.
477:3x 3x 53
846:2x 3x 3x 47
333:3x 3x 37
111:3x 37
321:3x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 3x 37 = 8991
Therefore, the value for common factors is 8991.
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 = 4788075465666/(3x8991)
LCM = 4788075465666/26973
LCM = 177513642
Thus, we can understand that the LCM of 477,846,333,111,321 is 177513642.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 477, 846, 333, 111, 321
1. What is the LCM of 477, 846, 333, 111, 321?
Answer: LCM of 477, 846, 333, 111, 321 is 177513642.
2. How to calculate the LCM of 477, 846, 333, 111, 321?
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 477, 846, 333, 111, 321.
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}.