LCM of 923, 355, 390, 444, 993
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 923, 355, 390, 444, 993 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 923, 355, 390, 444, 993. So, keep reading to learn more.
Given numbers are 923,355,390,444,993
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 923,355,390,444,993 is 678238860.
Find LCM of 923,355,390,444,993 with Prime Factorization
| 2 | 923, 355, 390, 444, 993 |
| 3 | 923, 355, 195, 222, 993 |
| 5 | 923, 355, 65, 74, 331 |
| 13 | 923, 71, 13, 74, 331 |
| 71 | 71, 71, 1, 74, 331 |
| 1, 1, 1, 74, 331 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 71 x 1 x 1 x 1 x 74 x 331 = 678238860
Therefore, the lowest common multiple of 923,355,390,444,993 is 678238860.
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.
923 x 355 x 390 x 444 x 993 = 56341302100200
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.
923 : 1, 13, 71, 923
355 : 1, 5, 71, 355
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
993 : 1, 3, 331, 993
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 923,355,390,444,993, is 1.
Now, the common factors can be found like this.
923:13x 71
355:5x 71
390:2x 3x 5x 13
444:2x 2x 3x 37
993:3x 331
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 13x 71 = 83070
Therefore, the value for common factors is 83070.
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 = 56341302100200/(1x83070)
LCM = 56341302100200/83070
LCM = 678238860
Thus, we can understand that the LCM of 923,355,390,444,993 is 678238860.
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FAQs on LCM of 923, 355, 390, 444, 993
1. What is the LCM of 923, 355, 390, 444, 993?
Answer: LCM of 923, 355, 390, 444, 993 is 678238860.
2. How to calculate the LCM of 923, 355, 390, 444, 993?
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 923, 355, 390, 444, 993.
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}.