Find the LCM of 273, 529, 920, 280, 356 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 273, 529, 920, 280, 356. So, keep reading to learn more.
Given numbers are 273,529,920,280,356
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 273,529,920,280,356 is 514124520.
Find LCM of 273,529,920,280,356 with Prime Factorization
2 | 273, 529, 920, 280, 356 |
2 | 273, 529, 460, 140, 178 |
2 | 273, 529, 230, 70, 89 |
5 | 273, 529, 115, 35, 89 |
7 | 273, 529, 23, 7, 89 |
23 | 39, 529, 23, 1, 89 |
39, 1, 23, 1, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 7 x 23 x 39 x 1 x 23 x 1 x 89 = 514124520
Therefore, the lowest common multiple of 273,529,920,280,356 is 514124520.
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.
273 x 529 x 920 x 280 x 356 = 13243847635200
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.
273 : 1, 3, 7, 13, 21, 39, 91, 273
529 : 1, 23, 529
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
356 : 1, 2, 4, 89, 178, 356
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 273,529,920,280,356, is 1.
Now, the common factors can be found like this.
273:3x 7x 13
529:23x 23
920:2x 2x 2x 5x 23
280:2x 2x 2x 5x 7
356:2x 2x 89
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 5x 7x 23 = 25760
Therefore, the value for common factors is 25760.
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 = 13243847635200/(1x25760)
LCM = 13243847635200/25760
LCM = 514124520
Thus, we can understand that the LCM of 273,529,920,280,356 is 514124520.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 273, 529, 920, 280, 356?
Answer: LCM of 273, 529, 920, 280, 356 is 514124520.
2. How to calculate the LCM of 273, 529, 920, 280, 356?
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 273, 529, 920, 280, 356.
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}.