LCM of 474, 580, 762, 333, 567
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 474, 580, 762, 333, 567 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 474, 580, 762, 333, 567. So, keep reading to learn more.
Given numbers are 474,580,762,333,567
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 474,580,762,333,567 is 122079738060.
Find LCM of 474,580,762,333,567 with Prime Factorization
| 2 | 474, 580, 762, 333, 567 |
| 3 | 237, 290, 381, 333, 567 |
| 3 | 79, 290, 127, 111, 189 |
| 79, 290, 127, 37, 63 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 79 x 290 x 127 x 37 x 63 = 122079738060
Therefore, the lowest common multiple of 474,580,762,333,567 is 122079738060.
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.
474 x 580 x 762 x 333 x 567 = 39553835131440
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.
474 : 1, 2, 3, 6, 79, 158, 237, 474
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
762 : 1, 2, 3, 6, 127, 254, 381, 762
333 : 1, 3, 9, 37, 111, 333
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 474,580,762,333,567, is 1.
Now, the common factors can be found like this.
474:2x 3x 79
580:2x 2x 5x 29
762:2x 3x 127
333:3x 3x 37
567:3x 3x 3x 3x 7
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 3x 3x 3 = 324
Therefore, the value for common factors is 324.
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 = 39553835131440/(1x324)
LCM = 39553835131440/324
LCM = 122079738060
Thus, we can understand that the LCM of 474,580,762,333,567 is 122079738060.
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FAQs on LCM of 474, 580, 762, 333, 567
1. What is the LCM of 474, 580, 762, 333, 567?
Answer: LCM of 474, 580, 762, 333, 567 is 122079738060.
2. How to calculate the LCM of 474, 580, 762, 333, 567?
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 474, 580, 762, 333, 567.
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}.