Find the LCM of 407, 598, 785, 949 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 407, 598, 785, 949. So, keep reading to learn more.
Given numbers are 407,598,785,949
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 407,598,785,949 is 13947234730.
Find LCM of 407,598,785,949 with Prime Factorization
13 | 407, 598, 785, 949 |
407, 46, 785, 73 |
Multiply the prime numbers at the bottom and the left side.
13 x 407 x 46 x 785 x 73 = 13947234730
Therefore, the lowest common multiple of 407,598,785,949 is 13947234730.
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.
407 x 598 x 785 x 949 = 181314051490
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.
407 : 1, 11, 37, 407
598 : 1, 2, 13, 23, 26, 46, 299, 598
785 : 1, 5, 157, 785
949 : 1, 13, 73, 949
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,598,785,949, is 1.
Now, the common factors can be found like this.
407:11x 37
598:2x 13x 23
785:5x 157
949:13x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 181314051490/(1x13)
LCM = 181314051490/13
LCM = 13947234730
Thus, we can understand that the LCM of 407,598,785,949 is 13947234730.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 407, 598, 785, 949?
Answer: LCM of 407, 598, 785, 949 is 13947234730.
2. How to calculate the LCM of 407, 598, 785, 949?
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 407, 598, 785, 949.
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}.