Find the LCM of 492, 545, 973, 218 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 492, 545, 973, 218. So, keep reading to learn more.
Given numbers are 492,545,973,218
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 492,545,973,218 is 260900220.
Find LCM of 492,545,973,218 with Prime Factorization
2 | 492, 545, 973, 218 |
109 | 246, 545, 973, 109 |
246, 5, 973, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 109 x 246 x 5 x 973 x 1 = 260900220
Therefore, the lowest common multiple of 492,545,973,218 is 260900220.
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.
492 x 545 x 973 x 218 = 56876247960
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.
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
545 : 1, 5, 109, 545
973 : 1, 7, 139, 973
218 : 1, 2, 109, 218
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 492,545,973,218, is 1.
Now, the common factors can be found like this.
492:2x 2x 3x 41
545:5x 109
973:7x 139
218:2x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 109 = 218
Therefore, the value for common factors is 218.
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 = 56876247960/(1x218)
LCM = 56876247960/218
LCM = 260900220
Thus, we can understand that the LCM of 492,545,973,218 is 260900220.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 492, 545, 973, 218?
Answer: LCM of 492, 545, 973, 218 is 260900220.
2. How to calculate the LCM of 492, 545, 973, 218?
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 492, 545, 973, 218.
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}.