LCM of 562, 747, 128, 333, 536
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 562, 747, 128, 333, 536 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 562, 747, 128, 333, 536. So, keep reading to learn more.
Given numbers are 562,747,128,333,536
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 562,747,128,333,536 is 66606009984.
Find LCM of 562,747,128,333,536 with Prime Factorization
| 2 | 562, 747, 128, 333, 536 |
| 2 | 281, 747, 64, 333, 268 |
| 2 | 281, 747, 32, 333, 134 |
| 3 | 281, 747, 16, 333, 67 |
| 3 | 281, 249, 16, 111, 67 |
| 281, 83, 16, 37, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 281 x 83 x 16 x 37 x 67 = 66606009984
Therefore, the lowest common multiple of 562,747,128,333,536 is 66606009984.
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.
562 x 747 x 128 x 333 x 536 = 9591265437696
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.
562 : 1, 2, 281, 562
747 : 1, 3, 9, 83, 249, 747
128 : 1, 2, 4, 8, 16, 32, 64, 128
333 : 1, 3, 9, 37, 111, 333
536 : 1, 2, 4, 8, 67, 134, 268, 536
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 562,747,128,333,536, is 1.
Now, the common factors can be found like this.
562:2x 281
747:3x 3x 83
128:2x 2x 2x 2x 2x 2x 2
333:3x 3x 37
536:2x 2x 2x 67
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 9591265437696/(1x144)
LCM = 9591265437696/144
LCM = 66606009984
Thus, we can understand that the LCM of 562,747,128,333,536 is 66606009984.
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FAQs on LCM of 562, 747, 128, 333, 536
1. What is the LCM of 562, 747, 128, 333, 536?
Answer: LCM of 562, 747, 128, 333, 536 is 66606009984.
2. How to calculate the LCM of 562, 747, 128, 333, 536?
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 562, 747, 128, 333, 536.
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}.