LCM of 210, 462, 252, 321
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 210, 462, 252, 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 210, 462, 252, 321. So, keep reading to learn more.
Given numbers are 210,462,252,321
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 210,462,252,321 is 1483020.
Find LCM of 210,462,252,321 with Prime Factorization
| 2 | 210, 462, 252, 321 |
| 3 | 105, 231, 126, 321 |
| 7 | 35, 77, 42, 107 |
| 5, 11, 6, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 5 x 11 x 6 x 107 = 1483020
Therefore, the lowest common multiple of 210,462,252,321 is 1483020.
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 462 x 252 x 321 = 7848141840
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
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
321 : 1, 3, 107, 321
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 210,462,252,321, is 3.
Now, the common factors can be found like this.
210:2x 3x 5x 7
462:2x 3x 7x 11
252:2x 2x 3x 3x 7
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 3x 3x 7x 7 = 1764
Therefore, the value for common factors is 1764.
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 = 7848141840/(3x1764)
LCM = 7848141840/5292
LCM = 1483020
Thus, we can understand that the LCM of 210,462,252,321 is 1483020.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 210, 462, 252, 321
1. What is the LCM of 210, 462, 252, 321?
Answer: LCM of 210, 462, 252, 321 is 1483020.
2. How to calculate the LCM of 210, 462, 252, 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 210, 462, 252, 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}.