LCM of 677, 667, 842, 529
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 677, 667, 842, 529 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 677, 667, 842, 529. So, keep reading to learn more.
Given numbers are 677,667,842,529
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 677,667,842,529 is 8744891594.
Find LCM of 677,667,842,529 with Prime Factorization
| 23 | 677, 667, 842, 529 |
| 677, 29, 842, 23 |
Multiply the prime numbers at the bottom and the left side.
23 x 677 x 29 x 842 x 23 = 8744891594
Therefore, the lowest common multiple of 677,667,842,529 is 8744891594.
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.
677 x 667 x 842 x 529 = 201132506662
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.
677 : 1, 677
667 : 1, 23, 29, 667
842 : 1, 2, 421, 842
529 : 1, 23, 529
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 677,667,842,529, is 1.
Now, the common factors can be found like this.
677:677
667:23x 29
842:2x 421
529:23x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
23 = 23
Therefore, the value for common factors is 23.
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 = 201132506662/(1x23)
LCM = 201132506662/23
LCM = 8744891594
Thus, we can understand that the LCM of 677,667,842,529 is 8744891594.
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FAQs on LCM of 677, 667, 842, 529
1. What is the LCM of 677, 667, 842, 529?
Answer: LCM of 677, 667, 842, 529 is 8744891594.
2. How to calculate the LCM of 677, 667, 842, 529?
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 677, 667, 842, 529.
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}.