LCM of 576, 213, 642, 105
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 576, 213, 642, 105 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 576, 213, 642, 105. So, keep reading to learn more.
Given numbers are 576,213,642,105
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 576,213,642,105 is 153155520.
Find LCM of 576,213,642,105 with Prime Factorization
| 2 | 576, 213, 642, 105 |
| 3 | 288, 213, 321, 105 |
| 96, 71, 107, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 96 x 71 x 107 x 35 = 153155520
Therefore, the lowest common multiple of 576,213,642,105 is 153155520.
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.
576 x 213 x 642 x 105 = 8270398080
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.
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
213 : 1, 3, 71, 213
642 : 1, 2, 3, 6, 107, 214, 321, 642
105 : 1, 3, 5, 7, 15, 21, 35, 105
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 576,213,642,105, is 3.
Now, the common factors can be found like this.
576:2x 2x 2x 2x 2x 2x 3x 3
213:3x 71
642:2x 3x 107
105:3x 5x 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 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 8270398080/(3x18)
LCM = 8270398080/54
LCM = 153155520
Thus, we can understand that the LCM of 576,213,642,105 is 153155520.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 576, 213, 642, 105
1. What is the LCM of 576, 213, 642, 105?
Answer: LCM of 576, 213, 642, 105 is 153155520.
2. How to calculate the LCM of 576, 213, 642, 105?
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 576, 213, 642, 105.
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}.