LCM of 445, 605, 193, 782, 352
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 445, 605, 193, 782, 352 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 445, 605, 193, 782, 352. So, keep reading to learn more.
Given numbers are 445,605,193,782,352
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 445,605,193,782,352 is 130025767520.
Find LCM of 445,605,193,782,352 with Prime Factorization
| 2 | 445, 605, 193, 782, 352 |
| 5 | 445, 605, 193, 391, 176 |
| 11 | 89, 121, 193, 391, 176 |
| 89, 11, 193, 391, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 89 x 11 x 193 x 391 x 16 = 130025767520
Therefore, the lowest common multiple of 445,605,193,782,352 is 130025767520.
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.
445 x 605 x 193 x 782 x 352 = 14302834427200
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.
445 : 1, 5, 89, 445
605 : 1, 5, 11, 55, 121, 605
193 : 1, 193
782 : 1, 2, 17, 23, 34, 46, 391, 782
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 445,605,193,782,352, is 1.
Now, the common factors can be found like this.
445:5x 89
605:5x 11x 11
193:193
782:2x 17x 23
352:2x 2x 2x 2x 2x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 11 = 110
Therefore, the value for common factors is 110.
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 = 14302834427200/(1x110)
LCM = 14302834427200/110
LCM = 130025767520
Thus, we can understand that the LCM of 445,605,193,782,352 is 130025767520.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 445, 605, 193, 782, 352
1. What is the LCM of 445, 605, 193, 782, 352?
Answer: LCM of 445, 605, 193, 782, 352 is 130025767520.
2. How to calculate the LCM of 445, 605, 193, 782, 352?
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 445, 605, 193, 782, 352.
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}.