LCM of 469, 221, 945, 323
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 469, 221, 945, 323 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 469, 221, 945, 323. So, keep reading to learn more.
Given numbers are 469,221,945,323
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 469,221,945,323 is 265859685.
Find LCM of 469,221,945,323 with Prime Factorization
| 7 | 469, 221, 945, 323 |
| 17 | 67, 221, 135, 323 |
| 67, 13, 135, 19 |
Multiply the prime numbers at the bottom and the left side.
7 x 17 x 67 x 13 x 135 x 19 = 265859685
Therefore, the lowest common multiple of 469,221,945,323 is 265859685.
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.
469 x 221 x 945 x 323 = 31637302515
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.
469 : 1, 7, 67, 469
221 : 1, 13, 17, 221
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
323 : 1, 17, 19, 323
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,221,945,323, is 1.
Now, the common factors can be found like this.
469:7x 67
221:13x 17
945:3x 3x 3x 5x 7
323:17x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 17 = 119
Therefore, the value for common factors is 119.
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 = 31637302515/(1x119)
LCM = 31637302515/119
LCM = 265859685
Thus, we can understand that the LCM of 469,221,945,323 is 265859685.
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FAQs on LCM of 469, 221, 945, 323
1. What is the LCM of 469, 221, 945, 323?
Answer: LCM of 469, 221, 945, 323 is 265859685.
2. How to calculate the LCM of 469, 221, 945, 323?
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 469, 221, 945, 323.
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}.