Find the LCM of 461, 106, 762, 216 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 461, 106, 762, 216. So, keep reading to learn more.
Given numbers are 461,106,762,216
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 461,106,762,216 is 670246056.
Find LCM of 461,106,762,216 with Prime Factorization
2 | 461, 106, 762, 216 |
3 | 461, 53, 381, 108 |
461, 53, 127, 36 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 461 x 53 x 127 x 36 = 670246056
Therefore, the lowest common multiple of 461,106,762,216 is 670246056.
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.
461 x 106 x 762 x 216 = 8042952672
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.
461 : 1, 461
106 : 1, 2, 53, 106
762 : 1, 2, 3, 6, 127, 254, 381, 762
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,106,762,216, is 1.
Now, the common factors can be found like this.
461:461
106:2x 53
762:2x 3x 127
216:2x 2x 2x 3x 3x 3
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 3 = 12
Therefore, the value for common factors is 12.
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 = 8042952672/(1x12)
LCM = 8042952672/12
LCM = 670246056
Thus, we can understand that the LCM of 461,106,762,216 is 670246056.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 461, 106, 762, 216?
Answer: LCM of 461, 106, 762, 216 is 670246056.
2. How to calculate the LCM of 461, 106, 762, 216?
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 461, 106, 762, 216.
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}.