LCM of 884, 588, 588, 384
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 884, 588, 588, 384 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 884, 588, 588, 384. So, keep reading to learn more.
Given numbers are 884,588,588,384
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 884,588,588,384 is 4158336.
Find LCM of 884,588,588,384 with Prime Factorization
| 2 | 884, 588, 588, 384 |
| 2 | 442, 294, 294, 192 |
| 3 | 221, 147, 147, 96 |
| 7 | 221, 49, 49, 32 |
| 7 | 221, 7, 7, 32 |
| 221, 1, 1, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 7 x 221 x 1 x 1 x 32 = 4158336
Therefore, the lowest common multiple of 884,588,588,384 is 4158336.
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.
884 x 588 x 588 x 384 = 117364875264
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.
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,588,588,384, is 4.
Now, the common factors can be found like this.
884:2x 2x 13x 17
588:2x 2x 3x 7x 7
588:2x 2x 3x 7x 7
384:2x 2x 2x 2x 2x 2x 2x 3
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 3x 3x 7x 7 = 7056
Therefore, the value for common factors is 7056.
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 = 117364875264/(4x7056)
LCM = 117364875264/28224
LCM = 4158336
Thus, we can understand that the LCM of 884,588,588,384 is 4158336.
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FAQs on LCM of 884, 588, 588, 384
1. What is the LCM of 884, 588, 588, 384?
Answer: LCM of 884, 588, 588, 384 is 4158336.
2. How to calculate the LCM of 884, 588, 588, 384?
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 884, 588, 588, 384.
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}.