LCM of 399, 540, 448, 588, 302
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 399, 540, 448, 588, 302 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 399, 540, 448, 588, 302. So, keep reading to learn more.
Given numbers are 399,540,448,588,302
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 399,540,448,588,302 is 1214619840.
Find LCM of 399,540,448,588,302 with Prime Factorization
| 2 | 399, 540, 448, 588, 302 |
| 2 | 399, 270, 224, 294, 151 |
| 3 | 399, 135, 112, 147, 151 |
| 7 | 133, 45, 112, 49, 151 |
| 19, 45, 16, 7, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 19 x 45 x 16 x 7 x 151 = 1214619840
Therefore, the lowest common multiple of 399,540,448,588,302 is 1214619840.
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.
399 x 540 x 448 x 588 x 302 = 17140715182080
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.
399 : 1, 3, 7, 19, 21, 57, 133, 399
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
302 : 1, 2, 151, 302
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 399,540,448,588,302, is 1.
Now, the common factors can be found like this.
399:3x 7x 19
540:2x 2x 3x 3x 3x 5
448:2x 2x 2x 2x 2x 2x 7
588:2x 2x 3x 7x 7
302:2x 151
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 3x 7x 7 = 14112
Therefore, the value for common factors is 14112.
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 = 17140715182080/(1x14112)
LCM = 17140715182080/14112
LCM = 1214619840
Thus, we can understand that the LCM of 399,540,448,588,302 is 1214619840.
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FAQs on LCM of 399, 540, 448, 588, 302
1. What is the LCM of 399, 540, 448, 588, 302?
Answer: LCM of 399, 540, 448, 588, 302 is 1214619840.
2. How to calculate the LCM of 399, 540, 448, 588, 302?
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 399, 540, 448, 588, 302.
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}.