LCM of 476, 390, 321, 852, 923
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 476, 390, 321, 852, 923 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 476, 390, 321, 852, 923. So, keep reading to learn more.
Given numbers are 476,390,321,852,923
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 476,390,321,852,923 is 705153540.
Find LCM of 476,390,321,852,923 with Prime Factorization
| 2 | 476, 390, 321, 852, 923 |
| 2 | 238, 195, 321, 426, 923 |
| 3 | 119, 195, 321, 213, 923 |
| 13 | 119, 65, 107, 71, 923 |
| 71 | 119, 5, 107, 71, 71 |
| 119, 5, 107, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 71 x 119 x 5 x 107 x 1 x 1 = 705153540
Therefore, the lowest common multiple of 476,390,321,852,923 is 705153540.
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.
476 x 390 x 321 x 852 x 923 = 46861683654240
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.
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
321 : 1, 3, 107, 321
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
923 : 1, 13, 71, 923
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 476,390,321,852,923, is 1.
Now, the common factors can be found like this.
476:2x 2x 7x 17
390:2x 3x 5x 13
321:3x 107
852:2x 2x 3x 71
923:13x 71
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 3x 3x 13x 71 = 66456
Therefore, the value for common factors is 66456.
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 = 46861683654240/(1x66456)
LCM = 46861683654240/66456
LCM = 705153540
Thus, we can understand that the LCM of 476,390,321,852,923 is 705153540.
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FAQs on LCM of 476, 390, 321, 852, 923
1. What is the LCM of 476, 390, 321, 852, 923?
Answer: LCM of 476, 390, 321, 852, 923 is 705153540.
2. How to calculate the LCM of 476, 390, 321, 852, 923?
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 476, 390, 321, 852, 923.
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}.