LCM of 767, 287, 589, 779
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 767, 287, 589, 779 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 767, 287, 589, 779. So, keep reading to learn more.
Given numbers are 767,287,589,779
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 767,287,589,779 is 129655981.
Find LCM of 767,287,589,779 with Prime Factorization
| 19 | 767, 287, 589, 779 |
| 41 | 767, 287, 31, 41 |
| 767, 7, 31, 1 |
Multiply the prime numbers at the bottom and the left side.
19 x 41 x 767 x 7 x 31 x 1 = 129655981
Therefore, the lowest common multiple of 767,287,589,779 is 129655981.
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.
767 x 287 x 589 x 779 = 101002009199
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.
767 : 1, 13, 59, 767
287 : 1, 7, 41, 287
589 : 1, 19, 31, 589
779 : 1, 19, 41, 779
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,287,589,779, is 1.
Now, the common factors can be found like this.
767:13x 59
287:7x 41
589:19x 31
779:19x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19x 41 = 779
Therefore, the value for common factors is 779.
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 = 101002009199/(1x779)
LCM = 101002009199/779
LCM = 129655981
Thus, we can understand that the LCM of 767,287,589,779 is 129655981.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 767, 287, 589, 779
1. What is the LCM of 767, 287, 589, 779?
Answer: LCM of 767, 287, 589, 779 is 129655981.
2. How to calculate the LCM of 767, 287, 589, 779?
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 767, 287, 589, 779.
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}.