Find the LCM of 973, 161, 693, 321, 621 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 973, 161, 693, 321, 621. So, keep reading to learn more.
Given numbers are 973,161,693,321,621
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 973,161,693,321,621 is 711182241.
Find LCM of 973,161,693,321,621 with Prime Factorization
3 | 973, 161, 693, 321, 621 |
3 | 973, 161, 231, 107, 207 |
7 | 973, 161, 77, 107, 69 |
23 | 139, 23, 11, 107, 69 |
139, 1, 11, 107, 3 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 7 x 23 x 139 x 1 x 11 x 107 x 3 = 711182241
Therefore, the lowest common multiple of 973,161,693,321,621 is 711182241.
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.
973 x 161 x 693 x 321 x 621 = 21640564411389
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.
973 : 1, 7, 139, 973
161 : 1, 7, 23, 161
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
321 : 1, 3, 107, 321
621 : 1, 3, 9, 23, 27, 69, 207, 621
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 973,161,693,321,621, is 1.
Now, the common factors can be found like this.
973:7x 139
161:7x 23
693:3x 3x 7x 11
321:3x 107
621:3x 3x 3x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 7x 7x 23 = 30429
Therefore, the value for common factors is 30429.
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 = 21640564411389/(1x30429)
LCM = 21640564411389/30429
LCM = 711182241
Thus, we can understand that the LCM of 973,161,693,321,621 is 711182241.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 973, 161, 693, 321, 621?
Answer: LCM of 973, 161, 693, 321, 621 is 711182241.
2. How to calculate the LCM of 973, 161, 693, 321, 621?
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 973, 161, 693, 321, 621.
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}.