LCM of 886, 812, 348, 210
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 886, 812, 348, 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 886, 812, 348, 210. So, keep reading to learn more.
Given numbers are 886,812,348,210
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 886,812,348,210 is 5395740.
Find LCM of 886,812,348,210 with Prime Factorization
| 2 | 886, 812, 348, 210 |
| 2 | 443, 406, 174, 105 |
| 3 | 443, 203, 87, 105 |
| 7 | 443, 203, 29, 35 |
| 29 | 443, 29, 29, 5 |
| 443, 1, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 29 x 443 x 1 x 1 x 5 = 5395740
Therefore, the lowest common multiple of 886,812,348,210 is 5395740.
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.
886 x 812 x 348 x 210 = 52576090560
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.
886 : 1, 2, 443, 886
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
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 886,812,348,210, is 2.
Now, the common factors can be found like this.
886:2x 443
812:2x 2x 7x 29
348:2x 2x 3x 29
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 3x 7x 29 = 4872
Therefore, the value for common factors is 4872.
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 = 52576090560/(2x4872)
LCM = 52576090560/9744
LCM = 5395740
Thus, we can understand that the LCM of 886,812,348,210 is 5395740.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 886, 812, 348, 210
1. What is the LCM of 886, 812, 348, 210?
Answer: LCM of 886, 812, 348, 210 is 5395740.
2. How to calculate the LCM of 886, 812, 348, 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 886, 812, 348, 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}.