LCM of 639, 311, 570, 631, 299
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 639, 311, 570, 631, 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, 311, 570, 631, 299. So, keep reading to learn more.
Given numbers are 639,311,570,631,299
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 639,311,570,631,299 is 7123860323190.
Find LCM of 639,311,570,631,299 with Prime Factorization
| 3 | 639, 311, 570, 631, 299 |
| 213, 311, 190, 631, 299 |
Multiply the prime numbers at the bottom and the left side.
3 x 213 x 311 x 190 x 631 x 299 = 7123860323190
Therefore, the lowest common multiple of 639,311,570,631,299 is 7123860323190.
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 311 x 570 x 631 x 299 = 21371580969570
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
311 : 1, 311
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
631 : 1, 631
299 : 1, 13, 23, 299
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 639,311,570,631,299, is 1.
Now, the common factors can be found like this.
639:3x 3x 71
311:311
570:2x 3x 5x 19
631:631
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.
3 = 3
Therefore, the value for common factors is 3.
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 = 21371580969570/(1x3)
LCM = 21371580969570/3
LCM = 7123860323190
Thus, we can understand that the LCM of 639,311,570,631,299 is 7123860323190.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 639, 311, 570, 631, 299
1. What is the LCM of 639, 311, 570, 631, 299?
Answer: LCM of 639, 311, 570, 631, 299 is 7123860323190.
2. How to calculate the LCM of 639, 311, 570, 631, 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, 311, 570, 631, 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}.