LCM of 223, 669, 800, 675
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 223, 669, 800, 675 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 223, 669, 800, 675. So, keep reading to learn more.
Given numbers are 223,669,800,675
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 223,669,800,675 is 4816800.
Find LCM of 223,669,800,675 with Prime Factorization
| 3 | 223, 669, 800, 675 |
| 5 | 223, 223, 800, 225 |
| 5 | 223, 223, 160, 45 |
| 223 | 223, 223, 32, 9 |
| 1, 1, 32, 9 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 5 x 223 x 1 x 1 x 32 x 9 = 4816800
Therefore, the lowest common multiple of 223,669,800,675 is 4816800.
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.
223 x 669 x 800 x 675 = 80560980000
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.
223 : 1, 223
669 : 1, 3, 223, 669
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 223,669,800,675, is 1.
Now, the common factors can be found like this.
223:223
669:3x 223
800:2x 2x 2x 2x 2x 5x 5
675:3x 3x 3x 5x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 223 = 16725
Therefore, the value for common factors is 16725.
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 = 80560980000/(1x16725)
LCM = 80560980000/16725
LCM = 4816800
Thus, we can understand that the LCM of 223,669,800,675 is 4816800.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 223, 669, 800, 675
1. What is the LCM of 223, 669, 800, 675?
Answer: LCM of 223, 669, 800, 675 is 4816800.
2. How to calculate the LCM of 223, 669, 800, 675?
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 223, 669, 800, 675.
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}.