LCM of 779, 646, 501, 667, 130
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 779, 646, 501, 667, 130 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 779, 646, 501, 667, 130. So, keep reading to learn more.
Given numbers are 779,646,501,667,130
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 779,646,501,667,130 is 575298565530.
Find LCM of 779,646,501,667,130 with Prime Factorization
| 2 | 779, 646, 501, 667, 130 |
| 19 | 779, 323, 501, 667, 65 |
| 41, 17, 501, 667, 65 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 41 x 17 x 501 x 667 x 65 = 575298565530
Therefore, the lowest common multiple of 779,646,501,667,130 is 575298565530.
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.
779 x 646 x 501 x 667 x 130 = 21861345490140
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.
779 : 1, 19, 41, 779
646 : 1, 2, 17, 19, 34, 38, 323, 646
501 : 1, 3, 167, 501
667 : 1, 23, 29, 667
130 : 1, 2, 5, 10, 13, 26, 65, 130
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 779,646,501,667,130, is 1.
Now, the common factors can be found like this.
779:19x 41
646:2x 17x 19
501:3x 167
667:23x 29
130:2x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 19 = 38
Therefore, the value for common factors is 38.
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 = 21861345490140/(1x38)
LCM = 21861345490140/38
LCM = 575298565530
Thus, we can understand that the LCM of 779,646,501,667,130 is 575298565530.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 779, 646, 501, 667, 130
1. What is the LCM of 779, 646, 501, 667, 130?
Answer: LCM of 779, 646, 501, 667, 130 is 575298565530.
2. How to calculate the LCM of 779, 646, 501, 667, 130?
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 779, 646, 501, 667, 130.
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}.