LCM of 639, 923, 331, 299
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 639, 923, 331, 299 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, 923, 331, 299. So, keep reading to learn more.
Given numbers are 639,923,331,299
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 639,923,331,299 is 63241191.
Find LCM of 639,923,331,299 with Prime Factorization
| 13 | 639, 923, 331, 299 |
| 71 | 639, 71, 331, 23 |
| 9, 1, 331, 23 |
Multiply the prime numbers at the bottom and the left side.
13 x 71 x 9 x 1 x 331 x 23 = 63241191
Therefore, the lowest common multiple of 639,923,331,299 is 63241191.
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 923 x 331 x 299 = 58371619293
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
923 : 1, 13, 71, 923
331 : 1, 331
299 : 1, 13, 23, 299
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 639,923,331,299, is 1.
Now, the common factors can be found like this.
639:3x 3x 71
923:13x 71
331:331
299:13x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 71 = 923
Therefore, the value for common factors is 923.
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 = 58371619293/(1x923)
LCM = 58371619293/923
LCM = 63241191
Thus, we can understand that the LCM of 639,923,331,299 is 63241191.
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FAQs on LCM of 639, 923, 331, 299
1. What is the LCM of 639, 923, 331, 299?
Answer: LCM of 639, 923, 331, 299 is 63241191.
2. How to calculate the LCM of 639, 923, 331, 299?
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, 923, 331, 299.
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}.