LCM of 823, 717, 970, 321
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 823, 717, 970, 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, 717, 970, 321. So, keep reading to learn more.
Given numbers are 823,717,970,321
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 823,717,970,321 is 61245544890.
Find LCM of 823,717,970,321 with Prime Factorization
| 3 | 823, 717, 970, 321 |
| 823, 239, 970, 107 |
Multiply the prime numbers at the bottom and the left side.
3 x 823 x 239 x 970 x 107 = 61245544890
Therefore, the lowest common multiple of 823,717,970,321 is 61245544890.
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 717 x 970 x 321 = 183736634670
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
717 : 1, 3, 239, 717
970 : 1, 2, 5, 10, 97, 194, 485, 970
321 : 1, 3, 107, 321
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 823,717,970,321, is 1.
Now, the common factors can be found like this.
823:823
717:3x 239
970:2x 5x 97
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.
3 = 3
Therefore, the value for common factors is 3.
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 = 183736634670/(1x3)
LCM = 183736634670/3
LCM = 61245544890
Thus, we can understand that the LCM of 823,717,970,321 is 61245544890.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 823, 717, 970, 321
1. What is the LCM of 823, 717, 970, 321?
Answer: LCM of 823, 717, 970, 321 is 61245544890.
2. How to calculate the LCM of 823, 717, 970, 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, 717, 970, 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}.