Find the LCM of 265, 804, 474, 533, 594 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 265, 804, 474, 533, 594. So, keep reading to learn more.
Given numbers are 265,804,474,533,594
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 265,804,474,533,594 is 888160424580.
Find LCM of 265,804,474,533,594 with Prime Factorization
2 | 265, 804, 474, 533, 594 |
3 | 265, 402, 237, 533, 297 |
265, 134, 79, 533, 99 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 265 x 134 x 79 x 533 x 99 = 888160424580
Therefore, the lowest common multiple of 265,804,474,533,594 is 888160424580.
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.
265 x 804 x 474 x 533 x 594 = 31973775284880
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.
265 : 1, 5, 53, 265
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
474 : 1, 2, 3, 6, 79, 158, 237, 474
533 : 1, 13, 41, 533
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 265,804,474,533,594, is 1.
Now, the common factors can be found like this.
265:5x 53
804:2x 2x 3x 67
474:2x 3x 79
533:13x 41
594:2x 3x 3x 3x 11
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 3 = 36
Therefore, the value for common factors is 36.
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 = 31973775284880/(1x36)
LCM = 31973775284880/36
LCM = 888160424580
Thus, we can understand that the LCM of 265,804,474,533,594 is 888160424580.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 265, 804, 474, 533, 594?
Answer: LCM of 265, 804, 474, 533, 594 is 888160424580.
2. How to calculate the LCM of 265, 804, 474, 533, 594?
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 265, 804, 474, 533, 594.
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}.