LCM of 623, 113, 256, 315
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 623, 113, 256, 315 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 623, 113, 256, 315. So, keep reading to learn more.
Given numbers are 623,113,256,315
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 623,113,256,315 is 810996480.
Find LCM of 623,113,256,315 with Prime Factorization
| 7 | 623, 113, 256, 315 |
| 89, 113, 256, 45 |
Multiply the prime numbers at the bottom and the left side.
7 x 89 x 113 x 256 x 45 = 810996480
Therefore, the lowest common multiple of 623,113,256,315 is 810996480.
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.
623 x 113 x 256 x 315 = 5676975360
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.
623 : 1, 7, 89, 623
113 : 1, 113
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 623,113,256,315, is 1.
Now, the common factors can be found like this.
623:7x 89
113:113
256:2x 2x 2x 2x 2x 2x 2x 2
315:3x 3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7 = 7
Therefore, the value for common factors is 7.
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 = 5676975360/(1x7)
LCM = 5676975360/7
LCM = 810996480
Thus, we can understand that the LCM of 623,113,256,315 is 810996480.
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FAQs on LCM of 623, 113, 256, 315
1. What is the LCM of 623, 113, 256, 315?
Answer: LCM of 623, 113, 256, 315 is 810996480.
2. How to calculate the LCM of 623, 113, 256, 315?
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 623, 113, 256, 315.
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}.