Find the LCM of 607, 715, 689, 858 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 607, 715, 689, 858. So, keep reading to learn more.
Given numbers are 607,715,689,858
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 607,715,689,858 is 138013590.
Find LCM of 607,715,689,858 with Prime Factorization
11 | 607, 715, 689, 858 |
13 | 607, 65, 689, 78 |
607, 5, 53, 6 |
Multiply the prime numbers at the bottom and the left side.
11 x 13 x 607 x 5 x 53 x 6 = 138013590
Therefore, the lowest common multiple of 607,715,689,858 is 138013590.
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.
607 x 715 x 689 x 858 = 256567263810
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.
607 : 1, 607
715 : 1, 5, 11, 13, 55, 65, 143, 715
689 : 1, 13, 53, 689
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 607,715,689,858, is 1.
Now, the common factors can be found like this.
607:607
715:5x 11x 13
689:13x 53
858:2x 3x 11x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 13x 13 = 1859
Therefore, the value for common factors is 1859.
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 = 256567263810/(1x1859)
LCM = 256567263810/1859
LCM = 138013590
Thus, we can understand that the LCM of 607,715,689,858 is 138013590.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 607, 715, 689, 858?
Answer: LCM of 607, 715, 689, 858 is 138013590.
2. How to calculate the LCM of 607, 715, 689, 858?
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 607, 715, 689, 858.
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}.