LCM of 654, 368, 633, 529, 730
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 654, 368, 633, 529, 730 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 654, 368, 633, 529, 730. So, keep reading to learn more.
Given numbers are 654,368,633,529,730
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 654,368,633,529,730 is 213156571920.
Find LCM of 654,368,633,529,730 with Prime Factorization
| 2 | 654, 368, 633, 529, 730 |
| 3 | 327, 184, 633, 529, 365 |
| 23 | 109, 184, 211, 529, 365 |
| 109, 8, 211, 23, 365 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 109 x 8 x 211 x 23 x 365 = 213156571920
Therefore, the lowest common multiple of 654,368,633,529,730 is 213156571920.
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.
654 x 368 x 633 x 529 x 730 = 58831213849920
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.
654 : 1, 2, 3, 6, 109, 218, 327, 654
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
633 : 1, 3, 211, 633
529 : 1, 23, 529
730 : 1, 2, 5, 10, 73, 146, 365, 730
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,368,633,529,730, is 1.
Now, the common factors can be found like this.
654:2x 3x 109
368:2x 2x 2x 2x 23
633:3x 211
529:23x 23
730:2x 5x 73
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 3x 23 = 276
Therefore, the value for common factors is 276.
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 = 58831213849920/(1x276)
LCM = 58831213849920/276
LCM = 213156571920
Thus, we can understand that the LCM of 654,368,633,529,730 is 213156571920.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 654, 368, 633, 529, 730
1. What is the LCM of 654, 368, 633, 529, 730?
Answer: LCM of 654, 368, 633, 529, 730 is 213156571920.
2. How to calculate the LCM of 654, 368, 633, 529, 730?
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 654, 368, 633, 529, 730.
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}.