Find the LCM of 882, 659, 665, 570, 648 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 882, 659, 665, 570, 648. So, keep reading to learn more.
Given numbers are 882,659,665,570,648
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 882,659,665,570,648 is 1987833960.
Find LCM of 882,659,665,570,648 with Prime Factorization
2 | 882, 659, 665, 570, 648 |
3 | 441, 659, 665, 285, 324 |
3 | 147, 659, 665, 95, 108 |
5 | 49, 659, 665, 95, 36 |
7 | 49, 659, 133, 19, 36 |
19 | 7, 659, 19, 19, 36 |
7, 659, 1, 1, 36 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 19 x 7 x 659 x 1 x 1 x 36 = 1987833960
Therefore, the lowest common multiple of 882,659,665,570,648 is 1987833960.
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.
882 x 659 x 665 x 570 x 648 = 142766235007200
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.
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
659 : 1, 659
665 : 1, 5, 7, 19, 35, 95, 133, 665
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,659,665,570,648, is 1.
Now, the common factors can be found like this.
882:2x 3x 3x 7x 7
659:659
665:5x 7x 19
570:2x 3x 5x 19
648:2x 2x 2x 3x 3x 3x 3
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 3x 3x 3x 5x 7x 19 = 71820
Therefore, the value for common factors is 71820.
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 = 142766235007200/(1x71820)
LCM = 142766235007200/71820
LCM = 1987833960
Thus, we can understand that the LCM of 882,659,665,570,648 is 1987833960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 882, 659, 665, 570, 648?
Answer: LCM of 882, 659, 665, 570, 648 is 1987833960.
2. How to calculate the LCM of 882, 659, 665, 570, 648?
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 882, 659, 665, 570, 648.
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}.