LCM of 267, 808, 424, 530, 104
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 267, 808, 424, 530, 104 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 267, 808, 424, 530, 104. So, keep reading to learn more.
Given numbers are 267,808,424,530,104
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 267,808,424,530,104 is 743210520.
Find LCM of 267,808,424,530,104 with Prime Factorization
| 2 | 267, 808, 424, 530, 104 |
| 2 | 267, 404, 212, 265, 52 |
| 2 | 267, 202, 106, 265, 26 |
| 53 | 267, 101, 53, 265, 13 |
| 267, 101, 1, 5, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 53 x 267 x 101 x 1 x 5 x 13 = 743210520
Therefore, the lowest common multiple of 267,808,424,530,104 is 743210520.
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.
267 x 808 x 424 x 530 x 104 = 5041940167680
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.
267 : 1, 3, 89, 267
808 : 1, 2, 4, 8, 101, 202, 404, 808
424 : 1, 2, 4, 8, 53, 106, 212, 424
530 : 1, 2, 5, 10, 53, 106, 265, 530
104 : 1, 2, 4, 8, 13, 26, 52, 104
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 267,808,424,530,104, is 1.
Now, the common factors can be found like this.
267:3x 89
808:2x 2x 2x 101
424:2x 2x 2x 53
530:2x 5x 53
104:2x 2x 2x 13
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 2x 2x 53 = 6784
Therefore, the value for common factors is 6784.
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 = 5041940167680/(1x6784)
LCM = 5041940167680/6784
LCM = 743210520
Thus, we can understand that the LCM of 267,808,424,530,104 is 743210520.
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FAQs on LCM of 267, 808, 424, 530, 104
1. What is the LCM of 267, 808, 424, 530, 104?
Answer: LCM of 267, 808, 424, 530, 104 is 743210520.
2. How to calculate the LCM of 267, 808, 424, 530, 104?
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 267, 808, 424, 530, 104.
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}.