LCM of 723, 441, 651, 161, 921
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 723, 441, 651, 161, 921 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 723, 441, 651, 161, 921. So, keep reading to learn more.
Given numbers are 723,441,651,161,921
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 723,441,651,161,921 is 23263954371.
Find LCM of 723,441,651,161,921 with Prime Factorization
| 3 | 723, 441, 651, 161, 921 |
| 7 | 241, 147, 217, 161, 307 |
| 241, 21, 31, 23, 307 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 241 x 21 x 31 x 23 x 307 = 23263954371
Therefore, the lowest common multiple of 723,441,651,161,921 is 23263954371.
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.
723 x 441 x 651 x 161 x 921 = 30778211632833
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.
723 : 1, 3, 241, 723
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
651 : 1, 3, 7, 21, 31, 93, 217, 651
161 : 1, 7, 23, 161
921 : 1, 3, 307, 921
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,441,651,161,921, is 1.
Now, the common factors can be found like this.
723:3x 241
441:3x 3x 7x 7
651:3x 7x 31
161:7x 23
921:3x 307
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 7 = 1323
Therefore, the value for common factors is 1323.
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 = 30778211632833/(1x1323)
LCM = 30778211632833/1323
LCM = 23263954371
Thus, we can understand that the LCM of 723,441,651,161,921 is 23263954371.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 723, 441, 651, 161, 921
1. What is the LCM of 723, 441, 651, 161, 921?
Answer: LCM of 723, 441, 651, 161, 921 is 23263954371.
2. How to calculate the LCM of 723, 441, 651, 161, 921?
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 723, 441, 651, 161, 921.
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}.