LCM of 647, 112, 278, 624, 998
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 647, 112, 278, 624, 998 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 647, 112, 278, 624, 998. So, keep reading to learn more.
Given numbers are 647,112,278,624,998
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 647,112,278,624,998 is 196020844656.
Find LCM of 647,112,278,624,998 with Prime Factorization
| 2 | 647, 112, 278, 624, 998 |
| 2 | 647, 56, 139, 312, 499 |
| 2 | 647, 28, 139, 156, 499 |
| 2 | 647, 14, 139, 78, 499 |
| 647, 7, 139, 39, 499 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 647 x 7 x 139 x 39 x 499 = 196020844656
Therefore, the lowest common multiple of 647,112,278,624,998 is 196020844656.
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.
647 x 112 x 278 x 624 x 998 = 12545334057984
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.
647 : 1, 647
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
278 : 1, 2, 139, 278
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
998 : 1, 2, 499, 998
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 647,112,278,624,998, is 1.
Now, the common factors can be found like this.
647:647
112:2x 2x 2x 2x 7
278:2x 139
624:2x 2x 2x 2x 3x 13
998:2x 499
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 2x 2 = 64
Therefore, the value for common factors is 64.
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 = 12545334057984/(1x64)
LCM = 12545334057984/64
LCM = 196020844656
Thus, we can understand that the LCM of 647,112,278,624,998 is 196020844656.
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FAQs on LCM of 647, 112, 278, 624, 998
1. What is the LCM of 647, 112, 278, 624, 998?
Answer: LCM of 647, 112, 278, 624, 998 is 196020844656.
2. How to calculate the LCM of 647, 112, 278, 624, 998?
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 647, 112, 278, 624, 998.
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}.