LCM of 920, 250, 323, 103, 912
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 920, 250, 323, 103, 912 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 920, 250, 323, 103, 912. So, keep reading to learn more.
Given numbers are 920,250,323,103,912
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 920,250,323,103,912 is 4591122000.
Find LCM of 920,250,323,103,912 with Prime Factorization
| 2 | 920, 250, 323, 103, 912 |
| 2 | 460, 125, 323, 103, 456 |
| 2 | 230, 125, 323, 103, 228 |
| 5 | 115, 125, 323, 103, 114 |
| 19 | 23, 25, 323, 103, 114 |
| 23, 25, 17, 103, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 19 x 23 x 25 x 17 x 103 x 6 = 4591122000
Therefore, the lowest common multiple of 920,250,323,103,912 is 4591122000.
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.
920 x 250 x 323 x 103 x 912 = 6978505440000
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.
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
250 : 1, 2, 5, 10, 25, 50, 125, 250
323 : 1, 17, 19, 323
103 : 1, 103
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,250,323,103,912, is 1.
Now, the common factors can be found like this.
920:2x 2x 2x 5x 23
250:2x 5x 5x 5
323:17x 19
103:103
912:2x 2x 2x 2x 3x 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 2x 2x 2x 5x 19 = 1520
Therefore, the value for common factors is 1520.
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 = 6978505440000/(1x1520)
LCM = 6978505440000/1520
LCM = 4591122000
Thus, we can understand that the LCM of 920,250,323,103,912 is 4591122000.
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FAQs on LCM of 920, 250, 323, 103, 912
1. What is the LCM of 920, 250, 323, 103, 912?
Answer: LCM of 920, 250, 323, 103, 912 is 4591122000.
2. How to calculate the LCM of 920, 250, 323, 103, 912?
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 920, 250, 323, 103, 912.
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}.