Find the LCM of 146, 507, 949, 398 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 146, 507, 949, 398. So, keep reading to learn more.
Given numbers are 146,507,949,398
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 146,507,949,398 is 14730378.
Find LCM of 146,507,949,398 with Prime Factorization
2 | 146, 507, 949, 398 |
13 | 73, 507, 949, 199 |
73 | 73, 39, 73, 199 |
1, 39, 1, 199 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 73 x 1 x 39 x 1 x 199 = 14730378
Therefore, the lowest common multiple of 146,507,949,398 is 14730378.
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.
146 x 507 x 949 x 398 = 27958257444
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.
146 : 1, 2, 73, 146
507 : 1, 3, 13, 39, 169, 507
949 : 1, 13, 73, 949
398 : 1, 2, 199, 398
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 146,507,949,398, is 1.
Now, the common factors can be found like this.
146:2x 73
507:3x 13x 13
949:13x 73
398:2x 199
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 73 = 1898
Therefore, the value for common factors is 1898.
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 = 27958257444/(1x1898)
LCM = 27958257444/1898
LCM = 14730378
Thus, we can understand that the LCM of 146,507,949,398 is 14730378.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 146, 507, 949, 398?
Answer: LCM of 146, 507, 949, 398 is 14730378.
2. How to calculate the LCM of 146, 507, 949, 398?
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 146, 507, 949, 398.
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}.