Find the LCM of 705, 898, 898, 947 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 705, 898, 898, 947. So, keep reading to learn more.
Given numbers are 705,898,898,947
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 705,898,898,947 is 599536230.
Find LCM of 705,898,898,947 with Prime Factorization
2 | 705, 898, 898, 947 |
449 | 705, 449, 449, 947 |
705, 1, 1, 947 |
Multiply the prime numbers at the bottom and the left side.
2 x 449 x 705 x 1 x 1 x 947 = 599536230
Therefore, the lowest common multiple of 705,898,898,947 is 599536230.
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.
705 x 898 x 898 x 947 = 538383534540
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.
705 : 1, 3, 5, 15, 47, 141, 235, 705
898 : 1, 2, 449, 898
898 : 1, 2, 449, 898
947 : 1, 947
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,898,898,947, is 1.
Now, the common factors can be found like this.
705:3x 5x 47
898:2x 449
898:2x 449
947:947
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 449 = 898
Therefore, the value for common factors is 898.
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 = 538383534540/(1x898)
LCM = 538383534540/898
LCM = 599536230
Thus, we can understand that the LCM of 705,898,898,947 is 599536230.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 705, 898, 898, 947?
Answer: LCM of 705, 898, 898, 947 is 599536230.
2. How to calculate the LCM of 705, 898, 898, 947?
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 705, 898, 898, 947.
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}.