Find the LCM of 158, 449, 407, 596, 513 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 158, 449, 407, 596, 513. So, keep reading to learn more.
Given numbers are 158,449,407,596,513
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 158,449,407,596,513 is 4413991234356.
Find LCM of 158,449,407,596,513 with Prime Factorization
2 | 158, 449, 407, 596, 513 |
79, 449, 407, 298, 513 |
Multiply the prime numbers at the bottom and the left side.
2 x 79 x 449 x 407 x 298 x 513 = 4413991234356
Therefore, the lowest common multiple of 158,449,407,596,513 is 4413991234356.
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.
158 x 449 x 407 x 596 x 513 = 8827982468712
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.
158 : 1, 2, 79, 158
449 : 1, 449
407 : 1, 11, 37, 407
596 : 1, 2, 4, 149, 298, 596
513 : 1, 3, 9, 19, 27, 57, 171, 513
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 158,449,407,596,513, is 1.
Now, the common factors can be found like this.
158:2x 79
449:449
407:11x 37
596:2x 2x 149
513:3x 3x 3x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 8827982468712/(1x2)
LCM = 8827982468712/2
LCM = 4413991234356
Thus, we can understand that the LCM of 158,449,407,596,513 is 4413991234356.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 158, 449, 407, 596, 513?
Answer: LCM of 158, 449, 407, 596, 513 is 4413991234356.
2. How to calculate the LCM of 158, 449, 407, 596, 513?
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 158, 449, 407, 596, 513.
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}.