LCM of 924, 783, 383, 232, 482
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 924, 783, 383, 232, 482 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 924, 783, 383, 232, 482. So, keep reading to learn more.
Given numbers are 924,783,383,232,482
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 924,783,383,232,482 is 44520321384.
Find LCM of 924,783,383,232,482 with Prime Factorization
| 2 | 924, 783, 383, 232, 482 |
| 2 | 462, 783, 383, 116, 241 |
| 3 | 231, 783, 383, 58, 241 |
| 29 | 77, 261, 383, 58, 241 |
| 77, 9, 383, 2, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 29 x 77 x 9 x 383 x 2 x 241 = 44520321384
Therefore, the lowest common multiple of 924,783,383,232,482 is 44520321384.
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.
924 x 783 x 383 x 232 x 482 = 30986143683264
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.
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
783 : 1, 3, 9, 27, 29, 87, 261, 783
383 : 1, 383
232 : 1, 2, 4, 8, 29, 58, 116, 232
482 : 1, 2, 241, 482
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 924,783,383,232,482, is 1.
Now, the common factors can be found like this.
924:2x 2x 3x 7x 11
783:3x 3x 3x 29
383:383
232:2x 2x 2x 29
482:2x 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 3x 29 = 696
Therefore, the value for common factors is 696.
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 = 30986143683264/(1x696)
LCM = 30986143683264/696
LCM = 44520321384
Thus, we can understand that the LCM of 924,783,383,232,482 is 44520321384.
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FAQs on LCM of 924, 783, 383, 232, 482
1. What is the LCM of 924, 783, 383, 232, 482?
Answer: LCM of 924, 783, 383, 232, 482 is 44520321384.
2. How to calculate the LCM of 924, 783, 383, 232, 482?
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 924, 783, 383, 232, 482.
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}.