LCM of 305, 428, 694, 848, 960
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 305, 428, 694, 848, 960 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 305, 428, 694, 848, 960. So, keep reading to learn more.
Given numbers are 305,428,694,848,960
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 305,428,694,848,960 is 115236534720.
Find LCM of 305,428,694,848,960 with Prime Factorization
| 2 | 305, 428, 694, 848, 960 |
| 2 | 305, 214, 347, 424, 480 |
| 2 | 305, 107, 347, 212, 240 |
| 2 | 305, 107, 347, 106, 120 |
| 5 | 305, 107, 347, 53, 60 |
| 61, 107, 347, 53, 12 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 61 x 107 x 347 x 53 x 12 = 115236534720
Therefore, the lowest common multiple of 305,428,694,848,960 is 115236534720.
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.
305 x 428 x 694 x 848 x 960 = 73751382220800
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.
305 : 1, 5, 61, 305
428 : 1, 2, 4, 107, 214, 428
694 : 1, 2, 347, 694
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,428,694,848,960, is 1.
Now, the common factors can be found like this.
305:5x 61
428:2x 2x 107
694:2x 347
848:2x 2x 2x 2x 53
960:2x 2x 2x 2x 2x 2x 3x 5
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 5 = 640
Therefore, the value for common factors is 640.
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 = 73751382220800/(1x640)
LCM = 73751382220800/640
LCM = 115236534720
Thus, we can understand that the LCM of 305,428,694,848,960 is 115236534720.
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FAQs on LCM of 305, 428, 694, 848, 960
1. What is the LCM of 305, 428, 694, 848, 960?
Answer: LCM of 305, 428, 694, 848, 960 is 115236534720.
2. How to calculate the LCM of 305, 428, 694, 848, 960?
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 305, 428, 694, 848, 960.
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}.