LCM of 646, 532, 644, 648
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 646, 532, 644, 648 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 646, 532, 644, 648. So, keep reading to learn more.
Given numbers are 646,532,644,648
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 646,532,644,648 is 33697944.
Find LCM of 646,532,644,648 with Prime Factorization
| 2 | 646, 532, 644, 648 |
| 2 | 323, 266, 322, 324 |
| 7 | 323, 133, 161, 162 |
| 19 | 323, 19, 23, 162 |
| 17, 1, 23, 162 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 19 x 17 x 1 x 23 x 162 = 33697944
Therefore, the lowest common multiple of 646,532,644,648 is 33697944.
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.
646 x 532 x 644 x 648 = 143418449664
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.
646 : 1, 2, 17, 19, 34, 38, 323, 646
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 646,532,644,648, is 2.
Now, the common factors can be found like this.
646:2x 17x 19
532:2x 2x 7x 19
644:2x 2x 7x 23
648:2x 2x 2x 3x 3x 3x 3
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 7x 19 = 2128
Therefore, the value for common factors is 2128.
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 = 143418449664/(2x2128)
LCM = 143418449664/4256
LCM = 33697944
Thus, we can understand that the LCM of 646,532,644,648 is 33697944.
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FAQs on LCM of 646, 532, 644, 648
1. What is the LCM of 646, 532, 644, 648?
Answer: LCM of 646, 532, 644, 648 is 33697944.
2. How to calculate the LCM of 646, 532, 644, 648?
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 646, 532, 644, 648.
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}.