Find the LCM of 407, 351, 666, 103 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, 351, 666, 103. So, keep reading to learn more.
Given numbers are 407,351,666,103
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 407,351,666,103 is 29428542.
Find LCM of 407,351,666,103 with Prime Factorization
3 | 407, 351, 666, 103 |
3 | 407, 117, 222, 103 |
37 | 407, 39, 74, 103 |
11, 39, 2, 103 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 37 x 11 x 39 x 2 x 103 = 29428542
Therefore, the lowest common multiple of 407,351,666,103 is 29428542.
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 351 x 666 x 103 = 9799704486
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
351 : 1, 3, 9, 13, 27, 39, 117, 351
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
103 : 1, 103
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,351,666,103, is 1.
Now, the common factors can be found like this.
407:11x 37
351:3x 3x 3x 13
666:2x 3x 3x 37
103:103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 37 = 333
Therefore, the value for common factors is 333.
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 = 9799704486/(1x333)
LCM = 9799704486/333
LCM = 29428542
Thus, we can understand that the LCM of 407,351,666,103 is 29428542.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 407, 351, 666, 103?
Answer: LCM of 407, 351, 666, 103 is 29428542.
2. How to calculate the LCM of 407, 351, 666, 103?
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, 351, 666, 103.
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}.