Find the LCM of 493, 867, 920, 209, 644 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 493, 867, 920, 209, 644. So, keep reading to learn more.
Given numbers are 493,867,920,209,644
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 493,867,920,209,644 is 33841472280.
Find LCM of 493,867,920,209,644 with Prime Factorization
2 | 493, 867, 920, 209, 644 |
2 | 493, 867, 460, 209, 322 |
17 | 493, 867, 230, 209, 161 |
23 | 29, 51, 230, 209, 161 |
29, 51, 10, 209, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 23 x 29 x 51 x 10 x 209 x 7 = 33841472280
Therefore, the lowest common multiple of 493,867,920,209,644 is 33841472280.
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.
493 x 867 x 920 x 209 x 644 = 52928062645920
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.
493 : 1, 17, 29, 493
867 : 1, 3, 17, 51, 289, 867
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
209 : 1, 11, 19, 209
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,867,920,209,644, is 1.
Now, the common factors can be found like this.
493:17x 29
867:3x 17x 17
920:2x 2x 2x 5x 23
209:11x 19
644:2x 2x 7x 23
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 17x 23 = 1564
Therefore, the value for common factors is 1564.
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 = 52928062645920/(1x1564)
LCM = 52928062645920/1564
LCM = 33841472280
Thus, we can understand that the LCM of 493,867,920,209,644 is 33841472280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 493, 867, 920, 209, 644?
Answer: LCM of 493, 867, 920, 209, 644 is 33841472280.
2. How to calculate the LCM of 493, 867, 920, 209, 644?
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 493, 867, 920, 209, 644.
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}.