LCM of 321, 899, 609, 816, 947
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 321, 899, 609, 816, 947 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 321, 899, 609, 816, 947. So, keep reading to learn more.
Given numbers are 321,899,609,816,947
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 321,899,609,816,947 is 520333331952.
Find LCM of 321,899,609,816,947 with Prime Factorization
| 3 | 321, 899, 609, 816, 947 |
| 29 | 107, 899, 203, 272, 947 |
| 107, 31, 7, 272, 947 |
Multiply the prime numbers at the bottom and the left side.
3 x 29 x 107 x 31 x 7 x 272 x 947 = 520333331952
Therefore, the lowest common multiple of 321,899,609,816,947 is 520333331952.
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.
321 x 899 x 609 x 816 x 947 = 135806999639472
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.
321 : 1, 3, 107, 321
899 : 1, 29, 31, 899
609 : 1, 3, 7, 21, 29, 87, 203, 609
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
947 : 1, 947
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,899,609,816,947, is 1.
Now, the common factors can be found like this.
321:3x 107
899:29x 31
609:3x 7x 29
816:2x 2x 2x 2x 3x 17
947:947
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 29 = 261
Therefore, the value for common factors is 261.
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 = 135806999639472/(1x261)
LCM = 135806999639472/261
LCM = 520333331952
Thus, we can understand that the LCM of 321,899,609,816,947 is 520333331952.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 321, 899, 609, 816, 947
1. What is the LCM of 321, 899, 609, 816, 947?
Answer: LCM of 321, 899, 609, 816, 947 is 520333331952.
2. How to calculate the LCM of 321, 899, 609, 816, 947?
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 321, 899, 609, 816, 947.
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}.