LCM of 223, 802, 923, 284
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 223, 802, 923, 284 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, 802, 923, 284. So, keep reading to learn more.
Given numbers are 223,802,923,284
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 223,802,923,284 is 330149716.
Find LCM of 223,802,923,284 with Prime Factorization
| 2 | 223, 802, 923, 284 |
| 71 | 223, 401, 923, 142 |
| 223, 401, 13, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 71 x 223 x 401 x 13 x 2 = 330149716
Therefore, the lowest common multiple of 223,802,923,284 is 330149716.
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 802 x 923 x 284 = 46881259672
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
802 : 1, 2, 401, 802
923 : 1, 13, 71, 923
284 : 1, 2, 4, 71, 142, 284
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 223,802,923,284, is 1.
Now, the common factors can be found like this.
223:223
802:2x 401
923:13x 71
284:2x 2x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 71 = 142
Therefore, the value for common factors is 142.
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 = 46881259672/(1x142)
LCM = 46881259672/142
LCM = 330149716
Thus, we can understand that the LCM of 223,802,923,284 is 330149716.
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FAQs on LCM of 223, 802, 923, 284
1. What is the LCM of 223, 802, 923, 284?
Answer: LCM of 223, 802, 923, 284 is 330149716.
2. How to calculate the LCM of 223, 802, 923, 284?
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, 802, 923, 284.
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}.