LCM of 146, 548, 877, 584, 529
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 146, 548, 877, 584, 529 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 146, 548, 877, 584, 529. So, keep reading to learn more.
Given numbers are 146,548,877,584,529
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 146,548,877,584,529 is 37118351464.
Find LCM of 146,548,877,584,529 with Prime Factorization
| 2 | 146, 548, 877, 584, 529 |
| 2 | 73, 274, 877, 292, 529 |
| 73 | 73, 137, 877, 146, 529 |
| 1, 137, 877, 2, 529 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 73 x 1 x 137 x 877 x 2 x 529 = 37118351464
Therefore, the lowest common multiple of 146,548,877,584,529 is 37118351464.
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.
146 x 548 x 877 x 584 x 529 = 21677117254976
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.
146 : 1, 2, 73, 146
548 : 1, 2, 4, 137, 274, 548
877 : 1, 877
584 : 1, 2, 4, 8, 73, 146, 292, 584
529 : 1, 23, 529
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 146,548,877,584,529, is 1.
Now, the common factors can be found like this.
146:2x 73
548:2x 2x 137
877:877
584:2x 2x 2x 73
529:23x 23
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 73 = 584
Therefore, the value for common factors is 584.
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 = 21677117254976/(1x584)
LCM = 21677117254976/584
LCM = 37118351464
Thus, we can understand that the LCM of 146,548,877,584,529 is 37118351464.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 146, 548, 877, 584, 529
1. What is the LCM of 146, 548, 877, 584, 529?
Answer: LCM of 146, 548, 877, 584, 529 is 37118351464.
2. How to calculate the LCM of 146, 548, 877, 584, 529?
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 146, 548, 877, 584, 529.
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}.