LCM of 830, 977, 460, 589, 319
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 830, 977, 460, 589, 319 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 830, 977, 460, 589, 319. So, keep reading to learn more.
Given numbers are 830,977,460,589,319
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 830,977,460,589,319 is 7008683777260.
Find LCM of 830,977,460,589,319 with Prime Factorization
| 2 | 830, 977, 460, 589, 319 |
| 5 | 415, 977, 230, 589, 319 |
| 83, 977, 46, 589, 319 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 83 x 977 x 46 x 589 x 319 = 7008683777260
Therefore, the lowest common multiple of 830,977,460,589,319 is 7008683777260.
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.
830 x 977 x 460 x 589 x 319 = 70086837772600
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.
830 : 1, 2, 5, 10, 83, 166, 415, 830
977 : 1, 977
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
589 : 1, 19, 31, 589
319 : 1, 11, 29, 319
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 830,977,460,589,319, is 1.
Now, the common factors can be found like this.
830:2x 5x 83
977:977
460:2x 2x 5x 23
589:19x 31
319:11x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5 = 10
Therefore, the value for common factors is 10.
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 = 70086837772600/(1x10)
LCM = 70086837772600/10
LCM = 7008683777260
Thus, we can understand that the LCM of 830,977,460,589,319 is 7008683777260.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 830, 977, 460, 589, 319
1. What is the LCM of 830, 977, 460, 589, 319?
Answer: LCM of 830, 977, 460, 589, 319 is 7008683777260.
2. How to calculate the LCM of 830, 977, 460, 589, 319?
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 830, 977, 460, 589, 319.
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}.