LCM of 383, 579, 676, 928, 654
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 383, 579, 676, 928, 654 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 383, 579, 676, 928, 654. So, keep reading to learn more.
Given numbers are 383,579,676,928,654
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 383,579,676,928,654 is 3790866726816.
Find LCM of 383,579,676,928,654 with Prime Factorization
| 2 | 383, 579, 676, 928, 654 |
| 2 | 383, 579, 338, 464, 327 |
| 3 | 383, 579, 169, 232, 327 |
| 383, 193, 169, 232, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 383 x 193 x 169 x 232 x 109 = 3790866726816
Therefore, the lowest common multiple of 383,579,676,928,654 is 3790866726816.
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.
383 x 579 x 676 x 928 x 654 = 90980801443584
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.
383 : 1, 383
579 : 1, 3, 193, 579
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
654 : 1, 2, 3, 6, 109, 218, 327, 654
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 383,579,676,928,654, is 1.
Now, the common factors can be found like this.
383:383
579:3x 193
676:2x 2x 13x 13
928:2x 2x 2x 2x 2x 29
654:2x 3x 109
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 3 = 24
Therefore, the value for common factors is 24.
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 = 90980801443584/(1x24)
LCM = 90980801443584/24
LCM = 3790866726816
Thus, we can understand that the LCM of 383,579,676,928,654 is 3790866726816.
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FAQs on LCM of 383, 579, 676, 928, 654
1. What is the LCM of 383, 579, 676, 928, 654?
Answer: LCM of 383, 579, 676, 928, 654 is 3790866726816.
2. How to calculate the LCM of 383, 579, 676, 928, 654?
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 383, 579, 676, 928, 654.
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}.