LCM of 649, 664, 913, 163, 564
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 649, 664, 913, 163, 564 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 649, 664, 913, 163, 564. So, keep reading to learn more.
Given numbers are 649,664,913,163,564
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 649,664,913,163,564 is 9904202088.
Find LCM of 649,664,913,163,564 with Prime Factorization
| 2 | 649, 664, 913, 163, 564 |
| 2 | 649, 332, 913, 163, 282 |
| 11 | 649, 166, 913, 163, 141 |
| 83 | 59, 166, 83, 163, 141 |
| 59, 2, 1, 163, 141 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 83 x 59 x 2 x 1 x 163 x 141 = 9904202088
Therefore, the lowest common multiple of 649,664,913,163,564 is 9904202088.
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.
649 x 664 x 913 x 163 x 564 = 36170146025376
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.
649 : 1, 11, 59, 649
664 : 1, 2, 4, 8, 83, 166, 332, 664
913 : 1, 11, 83, 913
163 : 1, 163
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,664,913,163,564, is 1.
Now, the common factors can be found like this.
649:11x 59
664:2x 2x 2x 83
913:11x 83
163:163
564:2x 2x 3x 47
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 11x 83 = 3652
Therefore, the value for common factors is 3652.
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 = 36170146025376/(1x3652)
LCM = 36170146025376/3652
LCM = 9904202088
Thus, we can understand that the LCM of 649,664,913,163,564 is 9904202088.
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FAQs on LCM of 649, 664, 913, 163, 564
1. What is the LCM of 649, 664, 913, 163, 564?
Answer: LCM of 649, 664, 913, 163, 564 is 9904202088.
2. How to calculate the LCM of 649, 664, 913, 163, 564?
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 649, 664, 913, 163, 564.
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}.