Find the LCM of 828, 812, 140, 112, 326 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 828, 812, 140, 112, 326. So, keep reading to learn more.
Given numbers are 828,812,140,112,326
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 828,812,140,112,326 is 547953840.
Find LCM of 828,812,140,112,326 with Prime Factorization
2 | 828, 812, 140, 112, 326 |
2 | 414, 406, 70, 56, 163 |
7 | 207, 203, 35, 28, 163 |
207, 29, 5, 4, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 207 x 29 x 5 x 4 x 163 = 547953840
Therefore, the lowest common multiple of 828,812,140,112,326 is 547953840.
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.
828 x 812 x 140 x 112 x 326 = 3436766484480
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.
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
326 : 1, 2, 163, 326
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,812,140,112,326, is 2.
Now, the common factors can be found like this.
828:2x 2x 3x 3x 23
812:2x 2x 7x 29
140:2x 2x 5x 7
112:2x 2x 2x 2x 7
326:2x 163
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 2x 2x 2x 2x 7x 7 = 3136
Therefore, the value for common factors is 3136.
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 = 3436766484480/(2x3136)
LCM = 3436766484480/6272
LCM = 547953840
Thus, we can understand that the LCM of 828,812,140,112,326 is 547953840.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 828, 812, 140, 112, 326?
Answer: LCM of 828, 812, 140, 112, 326 is 547953840.
2. How to calculate the LCM of 828, 812, 140, 112, 326?
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 828, 812, 140, 112, 326.
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}.