Find the LCM of 850, 364, 208, 321 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 850, 364, 208, 321. So, keep reading to learn more.
Given numbers are 850,364,208,321
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 850,364,208,321 is 198634800.
Find LCM of 850,364,208,321 with Prime Factorization
2 | 850, 364, 208, 321 |
2 | 425, 182, 104, 321 |
13 | 425, 91, 52, 321 |
425, 7, 4, 321 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 425 x 7 x 4 x 321 = 198634800
Therefore, the lowest common multiple of 850,364,208,321 is 198634800.
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.
850 x 364 x 208 x 321 = 20658019200
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.
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
321 : 1, 3, 107, 321
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 850,364,208,321, is 1.
Now, the common factors can be found like this.
850:2x 5x 5x 17
364:2x 2x 7x 13
208:2x 2x 2x 2x 13
321:3x 107
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 13 = 104
Therefore, the value for common factors is 104.
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 = 20658019200/(1x104)
LCM = 20658019200/104
LCM = 198634800
Thus, we can understand that the LCM of 850,364,208,321 is 198634800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 850, 364, 208, 321?
Answer: LCM of 850, 364, 208, 321 is 198634800.
2. How to calculate the LCM of 850, 364, 208, 321?
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 850, 364, 208, 321.
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}.