LCM of 471, 806, 278, 247, 912
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 471, 806, 278, 247, 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 471, 806, 278, 247, 912. So, keep reading to learn more.
Given numbers are 471,806,278,247,912
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 471,806,278,247,912 is 8020738128.
Find LCM of 471,806,278,247,912 with Prime Factorization
| 2 | 471, 806, 278, 247, 912 |
| 3 | 471, 403, 139, 247, 456 |
| 13 | 157, 403, 139, 247, 152 |
| 19 | 157, 31, 139, 19, 152 |
| 157, 31, 139, 1, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 19 x 157 x 31 x 139 x 1 x 8 = 8020738128
Therefore, the lowest common multiple of 471,806,278,247,912 is 8020738128.
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.
471 x 806 x 278 x 247 x 912 = 23773467811392
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.
471 : 1, 3, 157, 471
806 : 1, 2, 13, 26, 31, 62, 403, 806
278 : 1, 2, 139, 278
247 : 1, 13, 19, 247
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 471,806,278,247,912, is 1.
Now, the common factors can be found like this.
471:3x 157
806:2x 13x 31
278:2x 139
247:13x 19
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 3x 13x 19 = 2964
Therefore, the value for common factors is 2964.
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 = 23773467811392/(1x2964)
LCM = 23773467811392/2964
LCM = 8020738128
Thus, we can understand that the LCM of 471,806,278,247,912 is 8020738128.
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FAQs on LCM of 471, 806, 278, 247, 912
1. What is the LCM of 471, 806, 278, 247, 912?
Answer: LCM of 471, 806, 278, 247, 912 is 8020738128.
2. How to calculate the LCM of 471, 806, 278, 247, 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 471, 806, 278, 247, 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}.