Find the LCM of 822, 399, 749, 570, 615 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 822, 399, 749, 570, 615. So, keep reading to learn more.
Given numbers are 822,399,749,570,615
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,399,749,570,615 is 2398065810.
Find LCM of 822,399,749,570,615 with Prime Factorization
2 | 822, 399, 749, 570, 615 |
3 | 411, 399, 749, 285, 615 |
5 | 137, 133, 749, 95, 205 |
7 | 137, 133, 749, 19, 41 |
19 | 137, 19, 107, 19, 41 |
137, 1, 107, 1, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 19 x 137 x 1 x 107 x 1 x 41 = 2398065810
Therefore, the lowest common multiple of 822,399,749,570,615 is 2398065810.
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.
822 x 399 x 749 x 570 x 615 = 86114543237100
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.
822 : 1, 2, 3, 6, 137, 274, 411, 822
399 : 1, 3, 7, 19, 21, 57, 133, 399
749 : 1, 7, 107, 749
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
615 : 1, 3, 5, 15, 41, 123, 205, 615
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,399,749,570,615, is 1.
Now, the common factors can be found like this.
822:2x 3x 137
399:3x 7x 19
749:7x 107
570:2x 3x 5x 19
615:3x 5x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5x 7x 19 = 35910
Therefore, the value for common factors is 35910.
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 = 86114543237100/(1x35910)
LCM = 86114543237100/35910
LCM = 2398065810
Thus, we can understand that the LCM of 822,399,749,570,615 is 2398065810.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 822, 399, 749, 570, 615?
Answer: LCM of 822, 399, 749, 570, 615 is 2398065810.
2. How to calculate the LCM of 822, 399, 749, 570, 615?
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 822, 399, 749, 570, 615.
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}.