LCM of 240, 928, 359, 406, 933
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 240, 928, 359, 406, 933 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 240, 928, 359, 406, 933. So, keep reading to learn more.
Given numbers are 240,928,359,406,933
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 240,928,359,406,933 is 10879078560.
Find LCM of 240,928,359,406,933 with Prime Factorization
| 2 | 240, 928, 359, 406, 933 |
| 2 | 120, 464, 359, 203, 933 |
| 2 | 60, 232, 359, 203, 933 |
| 2 | 30, 116, 359, 203, 933 |
| 3 | 15, 58, 359, 203, 933 |
| 29 | 5, 58, 359, 203, 311 |
| 5, 2, 359, 7, 311 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 29 x 5 x 2 x 359 x 7 x 311 = 10879078560
Therefore, the lowest common multiple of 240,928,359,406,933 is 10879078560.
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.
240 x 928 x 359 x 406 x 933 = 30287354711040
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.
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
359 : 1, 359
406 : 1, 2, 7, 14, 29, 58, 203, 406
933 : 1, 3, 311, 933
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,928,359,406,933, is 1.
Now, the common factors can be found like this.
240:2x 2x 2x 2x 3x 5
928:2x 2x 2x 2x 2x 29
359:359
406:2x 7x 29
933:3x 311
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 3x 29 = 2784
Therefore, the value for common factors is 2784.
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 = 30287354711040/(1x2784)
LCM = 30287354711040/2784
LCM = 10879078560
Thus, we can understand that the LCM of 240,928,359,406,933 is 10879078560.
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FAQs on LCM of 240, 928, 359, 406, 933
1. What is the LCM of 240, 928, 359, 406, 933?
Answer: LCM of 240, 928, 359, 406, 933 is 10879078560.
2. How to calculate the LCM of 240, 928, 359, 406, 933?
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 240, 928, 359, 406, 933.
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}.