Find the LCM of 645, 698, 572, 104, 796 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 645, 698, 572, 104, 796. So, keep reading to learn more.
Given numbers are 645,698,572,104,796
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 645,698,572,104,796 is 51246503880.
Find LCM of 645,698,572,104,796 with Prime Factorization
2 | 645, 698, 572, 104, 796 |
2 | 645, 349, 286, 52, 398 |
13 | 645, 349, 143, 26, 199 |
645, 349, 11, 2, 199 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 645 x 349 x 11 x 2 x 199 = 51246503880
Therefore, the lowest common multiple of 645,698,572,104,796 is 51246503880.
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.
645 x 698 x 572 x 104 x 796 = 21318545614080
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.
645 : 1, 3, 5, 15, 43, 129, 215, 645
698 : 1, 2, 349, 698
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
104 : 1, 2, 4, 8, 13, 26, 52, 104
796 : 1, 2, 4, 199, 398, 796
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 645,698,572,104,796, is 1.
Now, the common factors can be found like this.
645:3x 5x 43
698:2x 349
572:2x 2x 11x 13
104:2x 2x 2x 13
796:2x 2x 199
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 13 = 416
Therefore, the value for common factors is 416.
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 = 21318545614080/(1x416)
LCM = 21318545614080/416
LCM = 51246503880
Thus, we can understand that the LCM of 645,698,572,104,796 is 51246503880.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 645, 698, 572, 104, 796?
Answer: LCM of 645, 698, 572, 104, 796 is 51246503880.
2. How to calculate the LCM of 645, 698, 572, 104, 796?
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 645, 698, 572, 104, 796.
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}.