LCM of 427, 321, 305, 304, 310
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 427, 321, 305, 304, 310 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 427, 321, 305, 304, 310. So, keep reading to learn more.
Given numbers are 427,321,305,304,310
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 427,321,305,304,310 is 6458597040.
Find LCM of 427,321,305,304,310 with Prime Factorization
| 2 | 427, 321, 305, 304, 310 |
| 5 | 427, 321, 305, 152, 155 |
| 61 | 427, 321, 61, 152, 31 |
| 7, 321, 1, 152, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 61 x 7 x 321 x 1 x 152 x 31 = 6458597040
Therefore, the lowest common multiple of 427,321,305,304,310 is 6458597040.
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.
427 x 321 x 305 x 304 x 310 = 3939744194400
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.
427 : 1, 7, 61, 427
321 : 1, 3, 107, 321
305 : 1, 5, 61, 305
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
310 : 1, 2, 5, 10, 31, 62, 155, 310
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 427,321,305,304,310, is 1.
Now, the common factors can be found like this.
427:7x 61
321:3x 107
305:5x 61
304:2x 2x 2x 2x 19
310:2x 5x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 61 = 610
Therefore, the value for common factors is 610.
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 = 3939744194400/(1x610)
LCM = 3939744194400/610
LCM = 6458597040
Thus, we can understand that the LCM of 427,321,305,304,310 is 6458597040.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 427, 321, 305, 304, 310
1. What is the LCM of 427, 321, 305, 304, 310?
Answer: LCM of 427, 321, 305, 304, 310 is 6458597040.
2. How to calculate the LCM of 427, 321, 305, 304, 310?
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 427, 321, 305, 304, 310.
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}.