LCM of 352, 425, 782, 462, 144
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 352, 425, 782, 462, 144 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 352, 425, 782, 462, 144. So, keep reading to learn more.
Given numbers are 352,425,782,462,144
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 352,425,782,462,144 is 216770400.
Find LCM of 352,425,782,462,144 with Prime Factorization
| 2 | 352, 425, 782, 462, 144 |
| 2 | 176, 425, 391, 231, 72 |
| 2 | 88, 425, 391, 231, 36 |
| 2 | 44, 425, 391, 231, 18 |
| 3 | 22, 425, 391, 231, 9 |
| 11 | 22, 425, 391, 77, 3 |
| 17 | 2, 425, 391, 7, 3 |
| 2, 25, 23, 7, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 11 x 17 x 2 x 25 x 23 x 7 x 3 = 216770400
Therefore, the lowest common multiple of 352,425,782,462,144 is 216770400.
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.
352 x 425 x 782 x 462 x 144 = 7782924441600
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.
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
425 : 1, 5, 17, 25, 85, 425
782 : 1, 2, 17, 23, 34, 46, 391, 782
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 352,425,782,462,144, is 1.
Now, the common factors can be found like this.
352:2x 2x 2x 2x 2x 11
425:5x 5x 17
782:2x 17x 23
462:2x 3x 7x 11
144:2x 2x 2x 2x 3x 3
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 2x 2x 3x 11x 17 = 35904
Therefore, the value for common factors is 35904.
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 = 7782924441600/(1x35904)
LCM = 7782924441600/35904
LCM = 216770400
Thus, we can understand that the LCM of 352,425,782,462,144 is 216770400.
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FAQs on LCM of 352, 425, 782, 462, 144
1. What is the LCM of 352, 425, 782, 462, 144?
Answer: LCM of 352, 425, 782, 462, 144 is 216770400.
2. How to calculate the LCM of 352, 425, 782, 462, 144?
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 352, 425, 782, 462, 144.
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}.