LCM of 699, 352, 546, 496, 168
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 699, 352, 546, 496, 168 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 699, 352, 546, 496, 168. So, keep reading to learn more.
Given numbers are 699,352,546,496,168
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 699,352,546,496,168 is 694101408.
Find LCM of 699,352,546,496,168 with Prime Factorization
| 2 | 699, 352, 546, 496, 168 |
| 2 | 699, 176, 273, 248, 84 |
| 2 | 699, 88, 273, 124, 42 |
| 2 | 699, 44, 273, 62, 21 |
| 3 | 699, 22, 273, 31, 21 |
| 7 | 233, 22, 91, 31, 7 |
| 233, 22, 13, 31, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 7 x 233 x 22 x 13 x 31 x 1 = 694101408
Therefore, the lowest common multiple of 699,352,546,496,168 is 694101408.
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.
699 x 352 x 546 x 496 x 168 = 11194467508224
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.
699 : 1, 3, 233, 699
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 699,352,546,496,168, is 1.
Now, the common factors can be found like this.
699:3x 233
352:2x 2x 2x 2x 2x 11
546:2x 3x 7x 13
496:2x 2x 2x 2x 31
168:2x 2x 2x 3x 7
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 2x 2x 2x 3x 3x 7 = 16128
Therefore, the value for common factors is 16128.
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 = 11194467508224/(1x16128)
LCM = 11194467508224/16128
LCM = 694101408
Thus, we can understand that the LCM of 699,352,546,496,168 is 694101408.
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FAQs on LCM of 699, 352, 546, 496, 168
1. What is the LCM of 699, 352, 546, 496, 168?
Answer: LCM of 699, 352, 546, 496, 168 is 694101408.
2. How to calculate the LCM of 699, 352, 546, 496, 168?
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 699, 352, 546, 496, 168.
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}.