LCM of 305, 928, 992, 535, 964
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 305, 928, 992, 535, 964 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, 928, 992, 535, 964. So, keep reading to learn more.
Given numbers are 305,928,992,535,964
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 305,928,992,535,964 is 226261326880.
Find LCM of 305,928,992,535,964 with Prime Factorization
| 2 | 305, 928, 992, 535, 964 |
| 2 | 305, 464, 496, 535, 482 |
| 2 | 305, 232, 248, 535, 241 |
| 2 | 305, 116, 124, 535, 241 |
| 2 | 305, 58, 62, 535, 241 |
| 5 | 305, 29, 31, 535, 241 |
| 61, 29, 31, 107, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 5 x 61 x 29 x 31 x 107 x 241 = 226261326880
Therefore, the lowest common multiple of 305,928,992,535,964 is 226261326880.
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 928 x 992 x 535 x 964 = 144807249203200
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
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
535 : 1, 5, 107, 535
964 : 1, 2, 4, 241, 482, 964
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,928,992,535,964, is 1.
Now, the common factors can be found like this.
305:5x 61
928:2x 2x 2x 2x 2x 29
992:2x 2x 2x 2x 2x 31
535:5x 107
964:2x 2x 241
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 = 144807249203200/(1x640)
LCM = 144807249203200/640
LCM = 226261326880
Thus, we can understand that the LCM of 305,928,992,535,964 is 226261326880.
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FAQs on LCM of 305, 928, 992, 535, 964
1. What is the LCM of 305, 928, 992, 535, 964?
Answer: LCM of 305, 928, 992, 535, 964 is 226261326880.
2. How to calculate the LCM of 305, 928, 992, 535, 964?
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, 928, 992, 535, 964.
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}.