LCM of 588, 432, 449, 399, 703
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 588, 432, 449, 399, 703 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 588, 432, 449, 399, 703. So, keep reading to learn more.
Given numbers are 588,432,449,399,703
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 588,432,449,399,703 is 6681615696.
Find LCM of 588,432,449,399,703 with Prime Factorization
| 2 | 588, 432, 449, 399, 703 |
| 2 | 294, 216, 449, 399, 703 |
| 3 | 147, 108, 449, 399, 703 |
| 7 | 49, 36, 449, 133, 703 |
| 19 | 7, 36, 449, 19, 703 |
| 7, 36, 449, 1, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 19 x 7 x 36 x 449 x 1 x 37 = 6681615696
Therefore, the lowest common multiple of 588,432,449,399,703 is 6681615696.
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.
588 x 432 x 449 x 399 x 703 = 31991575952448
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.
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
449 : 1, 449
399 : 1, 3, 7, 19, 21, 57, 133, 399
703 : 1, 19, 37, 703
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 588,432,449,399,703, is 1.
Now, the common factors can be found like this.
588:2x 2x 3x 7x 7
432:2x 2x 2x 2x 3x 3x 3
449:449
399:3x 7x 19
703:19x 37
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 3x 3x 7x 19 = 4788
Therefore, the value for common factors is 4788.
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 = 31991575952448/(1x4788)
LCM = 31991575952448/4788
LCM = 6681615696
Thus, we can understand that the LCM of 588,432,449,399,703 is 6681615696.
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FAQs on LCM of 588, 432, 449, 399, 703
1. What is the LCM of 588, 432, 449, 399, 703?
Answer: LCM of 588, 432, 449, 399, 703 is 6681615696.
2. How to calculate the LCM of 588, 432, 449, 399, 703?
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 588, 432, 449, 399, 703.
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}.