Find the LCM of 848, 675, 850, 848, 213 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 848, 675, 850, 848, 213. So, keep reading to learn more.
Given numbers are 848,675,850,848,213
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 848,675,850,848,213 is 690886800.
Find LCM of 848,675,850,848,213 with Prime Factorization
2 | 848, 675, 850, 848, 213 |
2 | 424, 675, 425, 424, 213 |
2 | 212, 675, 425, 212, 213 |
2 | 106, 675, 425, 106, 213 |
3 | 53, 675, 425, 53, 213 |
5 | 53, 225, 425, 53, 71 |
5 | 53, 45, 85, 53, 71 |
53 | 53, 9, 17, 53, 71 |
1, 9, 17, 1, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 5 x 53 x 1 x 9 x 17 x 1 x 71 = 690886800
Therefore, the lowest common multiple of 848,675,850,848,213 is 690886800.
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.
848 x 675 x 850 x 848 x 213 = 87880800960000
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.
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
213 : 1, 3, 71, 213
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 848,675,850,848,213, is 1.
Now, the common factors can be found like this.
848:2x 2x 2x 2x 53
675:3x 3x 3x 5x 5
850:2x 5x 5x 17
848:2x 2x 2x 2x 53
213:3x 71
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 3x 5x 5x 53 = 127200
Therefore, the value for common factors is 127200.
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 = 87880800960000/(1x127200)
LCM = 87880800960000/127200
LCM = 690886800
Thus, we can understand that the LCM of 848,675,850,848,213 is 690886800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 848, 675, 850, 848, 213?
Answer: LCM of 848, 675, 850, 848, 213 is 690886800.
2. How to calculate the LCM of 848, 675, 850, 848, 213?
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 848, 675, 850, 848, 213.
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}.