LCM of 639, 965, 923, 365
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 639, 965, 923, 365 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 639, 965, 923, 365. So, keep reading to learn more.
Given numbers are 639,965,923,365
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 639,965,923,365 is 585186615.
Find LCM of 639,965,923,365 with Prime Factorization
| 5 | 639, 965, 923, 365 |
| 71 | 639, 193, 923, 73 |
| 9, 193, 13, 73 |
Multiply the prime numbers at the bottom and the left side.
5 x 71 x 9 x 193 x 13 x 73 = 585186615
Therefore, the lowest common multiple of 639,965,923,365 is 585186615.
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.
639 x 965 x 923 x 365 = 207741248325
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.
639 : 1, 3, 9, 71, 213, 639
965 : 1, 5, 193, 965
923 : 1, 13, 71, 923
365 : 1, 5, 73, 365
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 639,965,923,365, is 1.
Now, the common factors can be found like this.
639:3x 3x 71
965:5x 193
923:13x 71
365:5x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 71 = 355
Therefore, the value for common factors is 355.
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 = 207741248325/(1x355)
LCM = 207741248325/355
LCM = 585186615
Thus, we can understand that the LCM of 639,965,923,365 is 585186615.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 639, 965, 923, 365
1. What is the LCM of 639, 965, 923, 365?
Answer: LCM of 639, 965, 923, 365 is 585186615.
2. How to calculate the LCM of 639, 965, 923, 365?
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 639, 965, 923, 365.
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}.