Find the LCM of 457, 793, 978, 316, 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 457, 793, 978, 316, 412. So, keep reading to learn more.
Given numbers are 457,793,978,316,412
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 457,793,978,316,412 is 5767964168772.
Find LCM of 457,793,978,316,412 with Prime Factorization
2 | 457, 793, 978, 316, 412 |
2 | 457, 793, 489, 158, 206 |
457, 793, 489, 79, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 457 x 793 x 489 x 79 x 103 = 5767964168772
Therefore, the lowest common multiple of 457,793,978,316,412 is 5767964168772.
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.
457 x 793 x 978 x 316 x 412 = 46143713350176
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.
457 : 1, 457
793 : 1, 13, 61, 793
978 : 1, 2, 3, 6, 163, 326, 489, 978
316 : 1, 2, 4, 79, 158, 316
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 457,793,978,316,412, is 1.
Now, the common factors can be found like this.
457:457
793:13x 61
978:2x 3x 163
316:2x 2x 79
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.
2x 2x 2 = 8
Therefore, the value for common factors is 8.
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 = 46143713350176/(1x8)
LCM = 46143713350176/8
LCM = 5767964168772
Thus, we can understand that the LCM of 457,793,978,316,412 is 5767964168772.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 457, 793, 978, 316, 412?
Answer: LCM of 457, 793, 978, 316, 412 is 5767964168772.
2. How to calculate the LCM of 457, 793, 978, 316, 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 457, 793, 978, 316, 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}.