LCM of 181, 651, 117, 819, 921
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 181, 651, 117, 819, 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 181, 651, 117, 819, 921. So, keep reading to learn more.
Given numbers are 181,651,117,819,921
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 181,651,117,819,921 is 1410790563.
Find LCM of 181,651,117,819,921 with Prime Factorization
| 3 | 181, 651, 117, 819, 921 |
| 3 | 181, 217, 39, 273, 307 |
| 7 | 181, 217, 13, 91, 307 |
| 13 | 181, 31, 13, 13, 307 |
| 181, 31, 1, 1, 307 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 7 x 13 x 181 x 31 x 1 x 1 x 307 = 1410790563
Therefore, the lowest common multiple of 181,651,117,819,921 is 1410790563.
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.
181 x 651 x 117 x 819 x 921 = 10398937239873
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.
181 : 1, 181
651 : 1, 3, 7, 21, 31, 93, 217, 651
117 : 1, 3, 9, 13, 39, 117
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
921 : 1, 3, 307, 921
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 181,651,117,819,921, is 1.
Now, the common factors can be found like this.
181:181
651:3x 7x 31
117:3x 3x 13
819:3x 3x 7x 13
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 3x 7x 13 = 7371
Therefore, the value for common factors is 7371.
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 = 10398937239873/(1x7371)
LCM = 10398937239873/7371
LCM = 1410790563
Thus, we can understand that the LCM of 181,651,117,819,921 is 1410790563.
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FAQs on LCM of 181, 651, 117, 819, 921
1. What is the LCM of 181, 651, 117, 819, 921?
Answer: LCM of 181, 651, 117, 819, 921 is 1410790563.
2. How to calculate the LCM of 181, 651, 117, 819, 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 181, 651, 117, 819, 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}.