LCM of 667, 608, 870, 829
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 667, 608, 870, 829 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 667, 608, 870, 829. So, keep reading to learn more.
Given numbers are 667,608,870,829
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 667,608,870,829 is 5042840160.
Find LCM of 667,608,870,829 with Prime Factorization
| 2 | 667, 608, 870, 829 |
| 29 | 667, 304, 435, 829 |
| 23, 304, 15, 829 |
Multiply the prime numbers at the bottom and the left side.
2 x 29 x 23 x 304 x 15 x 829 = 5042840160
Therefore, the lowest common multiple of 667,608,870,829 is 5042840160.
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.
667 x 608 x 870 x 829 = 292484729280
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.
667 : 1, 23, 29, 667
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
829 : 1, 829
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,608,870,829, is 1.
Now, the common factors can be found like this.
667:23x 29
608:2x 2x 2x 2x 2x 19
870:2x 3x 5x 29
829:829
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 29 = 58
Therefore, the value for common factors is 58.
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 = 292484729280/(1x58)
LCM = 292484729280/58
LCM = 5042840160
Thus, we can understand that the LCM of 667,608,870,829 is 5042840160.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 667, 608, 870, 829
1. What is the LCM of 667, 608, 870, 829?
Answer: LCM of 667, 608, 870, 829 is 5042840160.
2. How to calculate the LCM of 667, 608, 870, 829?
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 667, 608, 870, 829.
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}.