LCM of 800, 336, 190, 210
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 800, 336, 190, 210 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 800, 336, 190, 210. So, keep reading to learn more.
Given numbers are 800,336,190,210
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 800,336,190,210 is 319200.
Find LCM of 800,336,190,210 with Prime Factorization
| 2 | 800, 336, 190, 210 |
| 2 | 400, 168, 95, 105 |
| 2 | 200, 84, 95, 105 |
| 2 | 100, 42, 95, 105 |
| 3 | 50, 21, 95, 105 |
| 5 | 50, 7, 95, 35 |
| 7 | 10, 7, 19, 7 |
| 10, 1, 19, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 7 x 10 x 1 x 19 x 1 = 319200
Therefore, the lowest common multiple of 800,336,190,210 is 319200.
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.
800 x 336 x 190 x 210 = 10725120000
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.
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
190 : 1, 2, 5, 10, 19, 38, 95, 190
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 800,336,190,210, is 2.
Now, the common factors can be found like this.
800:2x 2x 2x 2x 2x 5x 5
336:2x 2x 2x 2x 3x 7
190:2x 5x 19
210:2x 3x 5x 7
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 7 = 16800
Therefore, the value for common factors is 16800.
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 = 10725120000/(2x16800)
LCM = 10725120000/33600
LCM = 319200
Thus, we can understand that the LCM of 800,336,190,210 is 319200.
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FAQs on LCM of 800, 336, 190, 210
1. What is the LCM of 800, 336, 190, 210?
Answer: LCM of 800, 336, 190, 210 is 319200.
2. How to calculate the LCM of 800, 336, 190, 210?
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 800, 336, 190, 210.
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}.