LCM of 621, 722, 441, 608
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 621, 722, 441, 608 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 621, 722, 441, 608. So, keep reading to learn more.
Given numbers are 621,722,441,608
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 621,722,441,608 is 351515808.
Find LCM of 621,722,441,608 with Prime Factorization
| 2 | 621, 722, 441, 608 |
| 3 | 621, 361, 441, 304 |
| 3 | 207, 361, 147, 304 |
| 19 | 69, 361, 49, 304 |
| 69, 19, 49, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 19 x 69 x 19 x 49 x 16 = 351515808
Therefore, the lowest common multiple of 621,722,441,608 is 351515808.
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.
621 x 722 x 441 x 608 = 120218406336
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.
621 : 1, 3, 9, 23, 27, 69, 207, 621
722 : 1, 2, 19, 38, 361, 722
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 621,722,441,608, is 1.
Now, the common factors can be found like this.
621:3x 3x 3x 23
722:2x 19x 19
441:3x 3x 7x 7
608:2x 2x 2x 2x 2x 19
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 3x 19 = 342
Therefore, the value for common factors is 342.
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 = 120218406336/(1x342)
LCM = 120218406336/342
LCM = 351515808
Thus, we can understand that the LCM of 621,722,441,608 is 351515808.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 621, 722, 441, 608
1. What is the LCM of 621, 722, 441, 608?
Answer: LCM of 621, 722, 441, 608 is 351515808.
2. How to calculate the LCM of 621, 722, 441, 608?
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 621, 722, 441, 608.
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}.