LCM of 647, 704, 166, 978, 513
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 647, 704, 166, 978, 513 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, 704, 166, 978, 513. So, keep reading to learn more.
Given numbers are 647,704,166,978,513
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 647,704,166,978,513 is 3161258438976.
Find LCM of 647,704,166,978,513 with Prime Factorization
| 2 | 647, 704, 166, 978, 513 |
| 3 | 647, 352, 83, 489, 513 |
| 647, 352, 83, 163, 171 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 647 x 352 x 83 x 163 x 171 = 3161258438976
Therefore, the lowest common multiple of 647,704,166,978,513 is 3161258438976.
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 704 x 166 x 978 x 513 = 37935101267712
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
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
166 : 1, 2, 83, 166
978 : 1, 2, 3, 6, 163, 326, 489, 978
513 : 1, 3, 9, 19, 27, 57, 171, 513
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 647,704,166,978,513, is 1.
Now, the common factors can be found like this.
647:647
704:2x 2x 2x 2x 2x 2x 11
166:2x 83
978:2x 3x 163
513:3x 3x 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 3 = 12
Therefore, the value for common factors is 12.
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 = 37935101267712/(1x12)
LCM = 37935101267712/12
LCM = 3161258438976
Thus, we can understand that the LCM of 647,704,166,978,513 is 3161258438976.
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FAQs on LCM of 647, 704, 166, 978, 513
1. What is the LCM of 647, 704, 166, 978, 513?
Answer: LCM of 647, 704, 166, 978, 513 is 3161258438976.
2. How to calculate the LCM of 647, 704, 166, 978, 513?
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, 704, 166, 978, 513.
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}.