LCM of 823, 728, 174, 399, 321
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 823, 728, 174, 399, 321 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 823, 728, 174, 399, 321. So, keep reading to learn more.
Given numbers are 823,728,174,399,321
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 823,728,174,399,321 is 105971198424.
Find LCM of 823,728,174,399,321 with Prime Factorization
| 2 | 823, 728, 174, 399, 321 |
| 3 | 823, 364, 87, 399, 321 |
| 7 | 823, 364, 29, 133, 107 |
| 823, 52, 29, 19, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 823 x 52 x 29 x 19 x 107 = 105971198424
Therefore, the lowest common multiple of 823,728,174,399,321 is 105971198424.
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.
823 x 728 x 174 x 399 x 321 = 13352371001424
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.
823 : 1, 823
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
174 : 1, 2, 3, 6, 29, 58, 87, 174
399 : 1, 3, 7, 19, 21, 57, 133, 399
321 : 1, 3, 107, 321
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 823,728,174,399,321, is 1.
Now, the common factors can be found like this.
823:823
728:2x 2x 2x 7x 13
174:2x 3x 29
399:3x 7x 19
321:3x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 7 = 126
Therefore, the value for common factors is 126.
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 = 13352371001424/(1x126)
LCM = 13352371001424/126
LCM = 105971198424
Thus, we can understand that the LCM of 823,728,174,399,321 is 105971198424.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 823, 728, 174, 399, 321
1. What is the LCM of 823, 728, 174, 399, 321?
Answer: LCM of 823, 728, 174, 399, 321 is 105971198424.
2. How to calculate the LCM of 823, 728, 174, 399, 321?
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 823, 728, 174, 399, 321.
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}.