LCM of 588, 520, 328, 460, 909
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 588, 520, 328, 460, 909 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, 520, 328, 460, 909. So, keep reading to learn more.
Given numbers are 588,520,328,460,909
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 588,520,328,460,909 is 21841124760.
Find LCM of 588,520,328,460,909 with Prime Factorization
| 2 | 588, 520, 328, 460, 909 |
| 2 | 294, 260, 164, 230, 909 |
| 2 | 147, 130, 82, 115, 909 |
| 3 | 147, 65, 41, 115, 909 |
| 5 | 49, 65, 41, 115, 303 |
| 49, 13, 41, 23, 303 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 49 x 13 x 41 x 23 x 303 = 21841124760
Therefore, the lowest common multiple of 588,520,328,460,909 is 21841124760.
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 520 x 328 x 460 x 909 = 41934959539200
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
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
328 : 1, 2, 4, 8, 41, 82, 164, 328
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
909 : 1, 3, 9, 101, 303, 909
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 588,520,328,460,909, is 1.
Now, the common factors can be found like this.
588:2x 2x 3x 7x 7
520:2x 2x 2x 5x 13
328:2x 2x 2x 41
460:2x 2x 5x 23
909:3x 3x 101
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 2x 2x 3x 5 = 1920
Therefore, the value for common factors is 1920.
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 = 41934959539200/(1x1920)
LCM = 41934959539200/1920
LCM = 21841124760
Thus, we can understand that the LCM of 588,520,328,460,909 is 21841124760.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 588, 520, 328, 460, 909
1. What is the LCM of 588, 520, 328, 460, 909?
Answer: LCM of 588, 520, 328, 460, 909 is 21841124760.
2. How to calculate the LCM of 588, 520, 328, 460, 909?
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, 520, 328, 460, 909.
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}.