LCM of 698, 644, 663, 192, 364
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 698, 644, 663, 192, 364 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 698, 644, 663, 192, 364. So, keep reading to learn more.
Given numbers are 698,644,663,192,364
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 698,644,663,192,364 is 2384211648.
Find LCM of 698,644,663,192,364 with Prime Factorization
| 2 | 698, 644, 663, 192, 364 |
| 2 | 349, 322, 663, 96, 182 |
| 3 | 349, 161, 663, 48, 91 |
| 7 | 349, 161, 221, 16, 91 |
| 13 | 349, 23, 221, 16, 13 |
| 349, 23, 17, 16, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 13 x 349 x 23 x 17 x 16 x 1 = 2384211648
Therefore, the lowest common multiple of 698,644,663,192,364 is 2384211648.
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.
698 x 644 x 663 x 192 x 364 = 20828472956928
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.
698 : 1, 2, 349, 698
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
663 : 1, 3, 13, 17, 39, 51, 221, 663
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 698,644,663,192,364, is 1.
Now, the common factors can be found like this.
698:2x 349
644:2x 2x 7x 23
663:3x 13x 17
192:2x 2x 2x 2x 2x 2x 3
364:2x 2x 7x 13
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 3x 7x 13 = 8736
Therefore, the value for common factors is 8736.
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 = 20828472956928/(1x8736)
LCM = 20828472956928/8736
LCM = 2384211648
Thus, we can understand that the LCM of 698,644,663,192,364 is 2384211648.
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FAQs on LCM of 698, 644, 663, 192, 364
1. What is the LCM of 698, 644, 663, 192, 364?
Answer: LCM of 698, 644, 663, 192, 364 is 2384211648.
2. How to calculate the LCM of 698, 644, 663, 192, 364?
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 698, 644, 663, 192, 364.
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}.