LCM of 210, 463, 230, 923, 802
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 210, 463, 230, 923, 802 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 210, 463, 230, 923, 802. So, keep reading to learn more.
Given numbers are 210,463,230,923,802
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 210,463,230,923,802 is 827702363670.
Find LCM of 210,463,230,923,802 with Prime Factorization
| 2 | 210, 463, 230, 923, 802 |
| 5 | 105, 463, 115, 923, 401 |
| 21, 463, 23, 923, 401 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 21 x 463 x 23 x 923 x 401 = 827702363670
Therefore, the lowest common multiple of 210,463,230,923,802 is 827702363670.
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.
210 x 463 x 230 x 923 x 802 = 16554047273400
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.
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
463 : 1, 463
230 : 1, 2, 5, 10, 23, 46, 115, 230
923 : 1, 13, 71, 923
802 : 1, 2, 401, 802
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 210,463,230,923,802, is 1.
Now, the common factors can be found like this.
210:2x 3x 5x 7
463:463
230:2x 5x 23
923:13x 71
802:2x 401
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 5 = 20
Therefore, the value for common factors is 20.
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 = 16554047273400/(1x20)
LCM = 16554047273400/20
LCM = 827702363670
Thus, we can understand that the LCM of 210,463,230,923,802 is 827702363670.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 210, 463, 230, 923, 802
1. What is the LCM of 210, 463, 230, 923, 802?
Answer: LCM of 210, 463, 230, 923, 802 is 827702363670.
2. How to calculate the LCM of 210, 463, 230, 923, 802?
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 210, 463, 230, 923, 802.
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}.