Find the LCM of 547, 162, 145, 412, 772 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 547, 162, 145, 412, 772. So, keep reading to learn more.
Given numbers are 547,162,145,412,772
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 547,162,145,412,772 is 510851734740.
Find LCM of 547,162,145,412,772 with Prime Factorization
2 | 547, 162, 145, 412, 772 |
2 | 547, 81, 145, 206, 386 |
547, 81, 145, 103, 193 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 547 x 81 x 145 x 103 x 193 = 510851734740
Therefore, the lowest common multiple of 547,162,145,412,772 is 510851734740.
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.
547 x 162 x 145 x 412 x 772 = 4086813877920
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.
547 : 1, 547
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
145 : 1, 5, 29, 145
412 : 1, 2, 4, 103, 206, 412
772 : 1, 2, 4, 193, 386, 772
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 547,162,145,412,772, is 1.
Now, the common factors can be found like this.
547:547
162:2x 3x 3x 3x 3
145:5x 29
412:2x 2x 103
772:2x 2x 193
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 = 4086813877920/(1x8)
LCM = 4086813877920/8
LCM = 510851734740
Thus, we can understand that the LCM of 547,162,145,412,772 is 510851734740.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 547, 162, 145, 412, 772?
Answer: LCM of 547, 162, 145, 412, 772 is 510851734740.
2. How to calculate the LCM of 547, 162, 145, 412, 772?
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 547, 162, 145, 412, 772.
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}.