Find the LCM of 828, 989, 784, 321, 454 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, 989, 784, 321, 454. So, keep reading to learn more.
Given numbers are 828,989,784,321,454
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 828,989,784,321,454 is 169497968976.
Find LCM of 828,989,784,321,454 with Prime Factorization
2 | 828, 989, 784, 321, 454 |
2 | 414, 989, 392, 321, 227 |
3 | 207, 989, 196, 321, 227 |
23 | 69, 989, 196, 107, 227 |
3, 43, 196, 107, 227 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 3 x 43 x 196 x 107 x 227 = 169497968976
Therefore, the lowest common multiple of 828,989,784,321,454 is 169497968976.
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 989 x 784 x 321 x 454 = 93562878874752
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
989 : 1, 23, 43, 989
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
321 : 1, 3, 107, 321
454 : 1, 2, 227, 454
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,989,784,321,454, is 1.
Now, the common factors can be found like this.
828:2x 2x 3x 3x 23
989:23x 43
784:2x 2x 2x 2x 7x 7
321:3x 107
454:2x 227
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 3x 23 = 552
Therefore, the value for common factors is 552.
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 = 93562878874752/(1x552)
LCM = 93562878874752/552
LCM = 169497968976
Thus, we can understand that the LCM of 828,989,784,321,454 is 169497968976.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 828, 989, 784, 321, 454?
Answer: LCM of 828, 989, 784, 321, 454 is 169497968976.
2. How to calculate the LCM of 828, 989, 784, 321, 454?
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, 989, 784, 321, 454.
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}.