LCM of 284, 741, 473, 825, 568
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 284, 741, 473, 825, 568 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 284, 741, 473, 825, 568. So, keep reading to learn more.
Given numbers are 284,741,473,825,568
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 284,741,473,825,568 is 4977000600.
Find LCM of 284,741,473,825,568 with Prime Factorization
| 2 | 284, 741, 473, 825, 568 |
| 2 | 142, 741, 473, 825, 284 |
| 3 | 71, 741, 473, 825, 142 |
| 11 | 71, 247, 473, 275, 142 |
| 71 | 71, 247, 43, 25, 142 |
| 1, 247, 43, 25, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 71 x 1 x 247 x 43 x 25 x 2 = 4977000600
Therefore, the lowest common multiple of 284,741,473,825,568 is 4977000600.
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.
284 x 741 x 473 x 825 x 568 = 46644449623200
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.
284 : 1, 2, 4, 71, 142, 284
741 : 1, 3, 13, 19, 39, 57, 247, 741
473 : 1, 11, 43, 473
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
568 : 1, 2, 4, 8, 71, 142, 284, 568
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,741,473,825,568, is 1.
Now, the common factors can be found like this.
284:2x 2x 71
741:3x 13x 19
473:11x 43
825:3x 5x 5x 11
568:2x 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 2x 3x 11x 71 = 9372
Therefore, the value for common factors is 9372.
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 = 46644449623200/(1x9372)
LCM = 46644449623200/9372
LCM = 4977000600
Thus, we can understand that the LCM of 284,741,473,825,568 is 4977000600.
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FAQs on LCM of 284, 741, 473, 825, 568
1. What is the LCM of 284, 741, 473, 825, 568?
Answer: LCM of 284, 741, 473, 825, 568 is 4977000600.
2. How to calculate the LCM of 284, 741, 473, 825, 568?
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 284, 741, 473, 825, 568.
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}.