LCM of 164, 814, 513, 732, 153
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 164, 814, 513, 732, 153 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 164, 814, 513, 732, 153. So, keep reading to learn more.
Given numbers are 164,814,513,732,153
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 164,814,513,732,153 is 35508667788.
Find LCM of 164,814,513,732,153 with Prime Factorization
| 2 | 164, 814, 513, 732, 153 |
| 2 | 82, 407, 513, 366, 153 |
| 3 | 41, 407, 513, 183, 153 |
| 3 | 41, 407, 171, 61, 51 |
| 41, 407, 57, 61, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 41 x 407 x 57 x 61 x 17 = 35508667788
Therefore, the lowest common multiple of 164,814,513,732,153 is 35508667788.
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.
164 x 814 x 513 x 732 x 153 = 7669872242208
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.
164 : 1, 2, 4, 41, 82, 164
814 : 1, 2, 11, 22, 37, 74, 407, 814
513 : 1, 3, 9, 19, 27, 57, 171, 513
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
153 : 1, 3, 9, 17, 51, 153
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 164,814,513,732,153, is 1.
Now, the common factors can be found like this.
164:2x 2x 41
814:2x 11x 37
513:3x 3x 3x 19
732:2x 2x 3x 61
153:3x 3x 17
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 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 7669872242208/(1x216)
LCM = 7669872242208/216
LCM = 35508667788
Thus, we can understand that the LCM of 164,814,513,732,153 is 35508667788.
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FAQs on LCM of 164, 814, 513, 732, 153
1. What is the LCM of 164, 814, 513, 732, 153?
Answer: LCM of 164, 814, 513, 732, 153 is 35508667788.
2. How to calculate the LCM of 164, 814, 513, 732, 153?
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 164, 814, 513, 732, 153.
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}.