LCM of 470, 310, 305, 704
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 470, 310, 305, 704 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 470, 310, 305, 704. So, keep reading to learn more.
Given numbers are 470,310,305,704
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 470,310,305,704 is 312847040.
Find LCM of 470,310,305,704 with Prime Factorization
| 2 | 470, 310, 305, 704 |
| 5 | 235, 155, 305, 352 |
| 47, 31, 61, 352 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 47 x 31 x 61 x 352 = 312847040
Therefore, the lowest common multiple of 470,310,305,704 is 312847040.
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.
470 x 310 x 305 x 704 = 31284704000
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.
470 : 1, 2, 5, 10, 47, 94, 235, 470
310 : 1, 2, 5, 10, 31, 62, 155, 310
305 : 1, 5, 61, 305
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,310,305,704, is 1.
Now, the common factors can be found like this.
470:2x 5x 47
310:2x 5x 31
305:5x 61
704:2x 2x 2x 2x 2x 2x 11
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 5x 5 = 100
Therefore, the value for common factors is 100.
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 = 31284704000/(1x100)
LCM = 31284704000/100
LCM = 312847040
Thus, we can understand that the LCM of 470,310,305,704 is 312847040.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 470, 310, 305, 704
1. What is the LCM of 470, 310, 305, 704?
Answer: LCM of 470, 310, 305, 704 is 312847040.
2. How to calculate the LCM of 470, 310, 305, 704?
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 470, 310, 305, 704.
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}.