LCM of 446, 423, 728, 460, 378
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 446, 423, 728, 460, 378 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, 423, 728, 460, 378. So, keep reading to learn more.
Given numbers are 446,423,728,460,378
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 446,423,728,460,378 is 23691671640.
Find LCM of 446,423,728,460,378 with Prime Factorization
| 2 | 446, 423, 728, 460, 378 |
| 2 | 223, 423, 364, 230, 189 |
| 3 | 223, 423, 182, 115, 189 |
| 3 | 223, 141, 182, 115, 63 |
| 7 | 223, 47, 182, 115, 21 |
| 223, 47, 26, 115, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 223 x 47 x 26 x 115 x 3 = 23691671640
Therefore, the lowest common multiple of 446,423,728,460,378 is 23691671640.
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 423 x 728 x 460 x 378 = 23881205013120
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
423 : 1, 3, 9, 47, 141, 423
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 446,423,728,460,378, is 1.
Now, the common factors can be found like this.
446:2x 223
423:3x 3x 47
728:2x 2x 2x 7x 13
460:2x 2x 5x 23
378:2x 3x 3x 3x 7
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 2x 2x 3x 3x 7 = 1008
Therefore, the value for common factors is 1008.
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 = 23881205013120/(1x1008)
LCM = 23881205013120/1008
LCM = 23691671640
Thus, we can understand that the LCM of 446,423,728,460,378 is 23691671640.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 446, 423, 728, 460, 378
1. What is the LCM of 446, 423, 728, 460, 378?
Answer: LCM of 446, 423, 728, 460, 378 is 23691671640.
2. How to calculate the LCM of 446, 423, 728, 460, 378?
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, 423, 728, 460, 378.
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}.