Find the LCM of 117, 493, 501, 412 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 117, 493, 501, 412. So, keep reading to learn more.
Given numbers are 117,493,501,412
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 117,493,501,412 is 3968683524.
Find LCM of 117,493,501,412 with Prime Factorization
3 | 117, 493, 501, 412 |
39, 493, 167, 412 |
Multiply the prime numbers at the bottom and the left side.
3 x 39 x 493 x 167 x 412 = 3968683524
Therefore, the lowest common multiple of 117,493,501,412 is 3968683524.
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.
117 x 493 x 501 x 412 = 11906050572
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.
117 : 1, 3, 9, 13, 39, 117
493 : 1, 17, 29, 493
501 : 1, 3, 167, 501
412 : 1, 2, 4, 103, 206, 412
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,493,501,412, is 1.
Now, the common factors can be found like this.
117:3x 3x 13
493:17x 29
501:3x 167
412:2x 2x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 11906050572/(1x3)
LCM = 11906050572/3
LCM = 3968683524
Thus, we can understand that the LCM of 117,493,501,412 is 3968683524.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 117, 493, 501, 412?
Answer: LCM of 117, 493, 501, 412 is 3968683524.
2. How to calculate the LCM of 117, 493, 501, 412?
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 117, 493, 501, 412.
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}.