LCM of 819, 944, 472, 930
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 819, 944, 472, 930 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 819, 944, 472, 930. So, keep reading to learn more.
Given numbers are 819,944,472,930
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 819,944,472,930 is 119836080.
Find LCM of 819,944,472,930 with Prime Factorization
| 2 | 819, 944, 472, 930 |
| 2 | 819, 472, 236, 465 |
| 2 | 819, 118, 236, 465 |
| 3 | 819, 59, 118, 465 |
| 59 | 273, 59, 118, 155 |
| 273, 1, 2, 155 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 59 x 273 x 1 x 2 x 155 = 119836080
Therefore, the lowest common multiple of 819,944,472,930 is 119836080.
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.
819 x 944 x 472 x 930 = 339375778560
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.
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
472 : 1, 2, 4, 8, 59, 118, 236, 472
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 819,944,472,930, is 1.
Now, the common factors can be found like this.
819:3x 3x 7x 13
944:2x 2x 2x 2x 59
472:2x 2x 2x 59
930:2x 3x 5x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 3x 59 = 2832
Therefore, the value for common factors is 2832.
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 = 339375778560/(1x2832)
LCM = 339375778560/2832
LCM = 119836080
Thus, we can understand that the LCM of 819,944,472,930 is 119836080.
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FAQs on LCM of 819, 944, 472, 930
1. What is the LCM of 819, 944, 472, 930?
Answer: LCM of 819, 944, 472, 930 is 119836080.
2. How to calculate the LCM of 819, 944, 472, 930?
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 819, 944, 472, 930.
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}.