LCM of 628, 666, 481, 213
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 628, 666, 481, 213 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 628, 666, 481, 213. So, keep reading to learn more.
Given numbers are 628,666,481,213
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 628,666,481,213 is 193021452.
Find LCM of 628,666,481,213 with Prime Factorization
| 2 | 628, 666, 481, 213 |
| 3 | 314, 333, 481, 213 |
| 37 | 314, 111, 481, 71 |
| 314, 3, 13, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 37 x 314 x 3 x 13 x 71 = 193021452
Therefore, the lowest common multiple of 628,666,481,213 is 193021452.
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.
628 x 666 x 481 x 213 = 42850762344
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.
628 : 1, 2, 4, 157, 314, 628
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
481 : 1, 13, 37, 481
213 : 1, 3, 71, 213
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,666,481,213, is 1.
Now, the common factors can be found like this.
628:2x 2x 157
666:2x 3x 3x 37
481:13x 37
213:3x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 37 = 222
Therefore, the value for common factors is 222.
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 = 42850762344/(1x222)
LCM = 42850762344/222
LCM = 193021452
Thus, we can understand that the LCM of 628,666,481,213 is 193021452.
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FAQs on LCM of 628, 666, 481, 213
1. What is the LCM of 628, 666, 481, 213?
Answer: LCM of 628, 666, 481, 213 is 193021452.
2. How to calculate the LCM of 628, 666, 481, 213?
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 628, 666, 481, 213.
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}.