LCM of 446, 537, 895, 489, 745
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 446, 537, 895, 489, 745 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 446, 537, 895, 489, 745. So, keep reading to learn more.
Given numbers are 446,537,895,489,745
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 446,537,895,489,745 is 29083925370.
Find LCM of 446,537,895,489,745 with Prime Factorization
| 3 | 446, 537, 895, 489, 745 |
| 5 | 446, 179, 895, 163, 745 |
| 179 | 446, 179, 179, 163, 149 |
| 446, 1, 1, 163, 149 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 179 x 446 x 1 x 1 x 163 x 149 = 29083925370
Therefore, the lowest common multiple of 446,537,895,489,745 is 29083925370.
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.
446 x 537 x 895 x 489 x 745 = 78090339618450
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.
446 : 1, 2, 223, 446
537 : 1, 3, 179, 537
895 : 1, 5, 179, 895
489 : 1, 3, 163, 489
745 : 1, 5, 149, 745
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 446,537,895,489,745, is 1.
Now, the common factors can be found like this.
446:2x 223
537:3x 179
895:5x 179
489:3x 163
745:5x 149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 179 = 2685
Therefore, the value for common factors is 2685.
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 = 78090339618450/(1x2685)
LCM = 78090339618450/2685
LCM = 29083925370
Thus, we can understand that the LCM of 446,537,895,489,745 is 29083925370.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 446, 537, 895, 489, 745
1. What is the LCM of 446, 537, 895, 489, 745?
Answer: LCM of 446, 537, 895, 489, 745 is 29083925370.
2. How to calculate the LCM of 446, 537, 895, 489, 745?
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 446, 537, 895, 489, 745.
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}.