Find the LCM of 407, 497, 185, 745 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, 497, 185, 745. So, keep reading to learn more.
Given numbers are 407,497,185,745
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 407,497,185,745 is 150697855.
Find LCM of 407,497,185,745 with Prime Factorization
5 | 407, 497, 185, 745 |
37 | 407, 497, 37, 149 |
11, 497, 1, 149 |
Multiply the prime numbers at the bottom and the left side.
5 x 37 x 11 x 497 x 1 x 149 = 150697855
Therefore, the lowest common multiple of 407,497,185,745 is 150697855.
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 497 x 185 x 745 = 27879103175
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
497 : 1, 7, 71, 497
185 : 1, 5, 37, 185
745 : 1, 5, 149, 745
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,497,185,745, is 1.
Now, the common factors can be found like this.
407:11x 37
497:7x 71
185:5x 37
745:5x 149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 37 = 185
Therefore, the value for common factors is 185.
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 = 27879103175/(1x185)
LCM = 27879103175/185
LCM = 150697855
Thus, we can understand that the LCM of 407,497,185,745 is 150697855.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 407, 497, 185, 745?
Answer: LCM of 407, 497, 185, 745 is 150697855.
2. How to calculate the LCM of 407, 497, 185, 745?
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, 497, 185, 745.
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}.