LCM of 299, 767, 715, 589, 940
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 299, 767, 715, 589, 940 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 299, 767, 715, 589, 940. So, keep reading to learn more.
Given numbers are 299,767,715,589,940
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 299,767,715,589,940 is 107438276660.
Find LCM of 299,767,715,589,940 with Prime Factorization
| 5 | 299, 767, 715, 589, 940 |
| 13 | 299, 767, 143, 589, 188 |
| 23, 59, 11, 589, 188 |
Multiply the prime numbers at the bottom and the left side.
5 x 13 x 23 x 59 x 11 x 589 x 188 = 107438276660
Therefore, the lowest common multiple of 299,767,715,589,940 is 107438276660.
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.
299 x 767 x 715 x 589 x 940 = 90785343777700
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.
299 : 1, 13, 23, 299
767 : 1, 13, 59, 767
715 : 1, 5, 11, 13, 55, 65, 143, 715
589 : 1, 19, 31, 589
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 299,767,715,589,940, is 1.
Now, the common factors can be found like this.
299:13x 23
767:13x 59
715:5x 11x 13
589:19x 31
940:2x 2x 5x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 13x 13 = 845
Therefore, the value for common factors is 845.
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 = 90785343777700/(1x845)
LCM = 90785343777700/845
LCM = 107438276660
Thus, we can understand that the LCM of 299,767,715,589,940 is 107438276660.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 299, 767, 715, 589, 940
1. What is the LCM of 299, 767, 715, 589, 940?
Answer: LCM of 299, 767, 715, 589, 940 is 107438276660.
2. How to calculate the LCM of 299, 767, 715, 589, 940?
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 299, 767, 715, 589, 940.
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}.