LCM of 459, 399, 221, 621, 533
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 459, 399, 221, 621, 533 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 459, 399, 221, 621, 533. So, keep reading to learn more.
Given numbers are 459,399,221,621,533
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 459,399,221,621,533 is 748375173.
Find LCM of 459,399,221,621,533 with Prime Factorization
| 3 | 459, 399, 221, 621, 533 |
| 3 | 153, 133, 221, 207, 533 |
| 3 | 51, 133, 221, 69, 533 |
| 13 | 17, 133, 221, 23, 533 |
| 17 | 17, 133, 17, 23, 41 |
| 1, 133, 1, 23, 41 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 13 x 17 x 1 x 133 x 1 x 23 x 41 = 748375173
Therefore, the lowest common multiple of 459,399,221,621,533 is 748375173.
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.
459 x 399 x 221 x 621 x 533 = 13396663971873
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.
459 : 1, 3, 9, 17, 27, 51, 153, 459
399 : 1, 3, 7, 19, 21, 57, 133, 399
221 : 1, 13, 17, 221
621 : 1, 3, 9, 23, 27, 69, 207, 621
533 : 1, 13, 41, 533
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,399,221,621,533, is 1.
Now, the common factors can be found like this.
459:3x 3x 3x 17
399:3x 7x 19
221:13x 17
621:3x 3x 3x 23
533:13x 41
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 13x 17 = 17901
Therefore, the value for common factors is 17901.
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 = 13396663971873/(1x17901)
LCM = 13396663971873/17901
LCM = 748375173
Thus, we can understand that the LCM of 459,399,221,621,533 is 748375173.
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FAQs on LCM of 459, 399, 221, 621, 533
1. What is the LCM of 459, 399, 221, 621, 533?
Answer: LCM of 459, 399, 221, 621, 533 is 748375173.
2. How to calculate the LCM of 459, 399, 221, 621, 533?
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 459, 399, 221, 621, 533.
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}.