LCM of 553, 324, 731, 568, 446
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 553, 324, 731, 568, 446 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 553, 324, 731, 568, 446. So, keep reading to learn more.
Given numbers are 553,324,731,568,446
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 553,324,731,568,446 is 4147445863512.
Find LCM of 553,324,731,568,446 with Prime Factorization
| 2 | 553, 324, 731, 568, 446 |
| 2 | 553, 162, 731, 284, 223 |
| 553, 81, 731, 142, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 553 x 81 x 731 x 142 x 223 = 4147445863512
Therefore, the lowest common multiple of 553,324,731,568,446 is 4147445863512.
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.
553 x 324 x 731 x 568 x 446 = 33179566908096
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.
553 : 1, 7, 79, 553
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
731 : 1, 17, 43, 731
568 : 1, 2, 4, 8, 71, 142, 284, 568
446 : 1, 2, 223, 446
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 553,324,731,568,446, is 1.
Now, the common factors can be found like this.
553:7x 79
324:2x 2x 3x 3x 3x 3
731:17x 43
568:2x 2x 2x 71
446:2x 223
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2 = 8
Therefore, the value for common factors is 8.
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 = 33179566908096/(1x8)
LCM = 33179566908096/8
LCM = 4147445863512
Thus, we can understand that the LCM of 553,324,731,568,446 is 4147445863512.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 553, 324, 731, 568, 446
1. What is the LCM of 553, 324, 731, 568, 446?
Answer: LCM of 553, 324, 731, 568, 446 is 4147445863512.
2. How to calculate the LCM of 553, 324, 731, 568, 446?
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 553, 324, 731, 568, 446.
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}.