LCM of 320, 365, 786, 428, 924
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 320, 365, 786, 428, 924 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 320, 365, 786, 428, 924. So, keep reading to learn more.
Given numbers are 320,365,786,428,924
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 320,365,786,428,924 is 75637974720.
Find LCM of 320,365,786,428,924 with Prime Factorization
| 2 | 320, 365, 786, 428, 924 |
| 2 | 160, 365, 393, 214, 462 |
| 3 | 80, 365, 393, 107, 231 |
| 5 | 80, 365, 131, 107, 77 |
| 16, 73, 131, 107, 77 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 16 x 73 x 131 x 107 x 77 = 75637974720
Therefore, the lowest common multiple of 320,365,786,428,924 is 75637974720.
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.
320 x 365 x 786 x 428 x 924 = 36306227865600
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.
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
365 : 1, 5, 73, 365
786 : 1, 2, 3, 6, 131, 262, 393, 786
428 : 1, 2, 4, 107, 214, 428
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 320,365,786,428,924, is 1.
Now, the common factors can be found like this.
320:2x 2x 2x 2x 2x 2x 5
365:5x 73
786:2x 3x 131
428:2x 2x 107
924:2x 2x 3x 7x 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 2x 2x 2x 2x 3x 5 = 480
Therefore, the value for common factors is 480.
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 = 36306227865600/(1x480)
LCM = 36306227865600/480
LCM = 75637974720
Thus, we can understand that the LCM of 320,365,786,428,924 is 75637974720.
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FAQs on LCM of 320, 365, 786, 428, 924
1. What is the LCM of 320, 365, 786, 428, 924?
Answer: LCM of 320, 365, 786, 428, 924 is 75637974720.
2. How to calculate the LCM of 320, 365, 786, 428, 924?
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 320, 365, 786, 428, 924.
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}.