LCM of 516, 270, 771, 606, 320
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 516, 270, 771, 606, 320 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 516, 270, 771, 606, 320. So, keep reading to learn more.
Given numbers are 516,270,771,606,320
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 516,270,771,606,320 is 9643544640.
Find LCM of 516,270,771,606,320 with Prime Factorization
| 2 | 516, 270, 771, 606, 320 |
| 2 | 258, 135, 771, 303, 160 |
| 3 | 129, 135, 771, 303, 80 |
| 5 | 43, 45, 257, 101, 80 |
| 43, 9, 257, 101, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 43 x 9 x 257 x 101 x 16 = 9643544640
Therefore, the lowest common multiple of 516,270,771,606,320 is 9643544640.
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.
516 x 270 x 771 x 606 x 320 = 20830056422400
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.
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
771 : 1, 3, 257, 771
606 : 1, 2, 3, 6, 101, 202, 303, 606
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 516,270,771,606,320, is 1.
Now, the common factors can be found like this.
516:2x 2x 3x 43
270:2x 3x 3x 3x 5
771:3x 257
606:2x 3x 101
320:2x 2x 2x 2x 2x 2x 5
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 3x 5 = 2160
Therefore, the value for common factors is 2160.
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 = 20830056422400/(1x2160)
LCM = 20830056422400/2160
LCM = 9643544640
Thus, we can understand that the LCM of 516,270,771,606,320 is 9643544640.
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FAQs on LCM of 516, 270, 771, 606, 320
1. What is the LCM of 516, 270, 771, 606, 320?
Answer: LCM of 516, 270, 771, 606, 320 is 9643544640.
2. How to calculate the LCM of 516, 270, 771, 606, 320?
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 516, 270, 771, 606, 320.
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}.