LCM of 510, 463, 141, 771, 565
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 510, 463, 141, 771, 565 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 510, 463, 141, 771, 565. So, keep reading to learn more.
Given numbers are 510,463,141,771,565
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 510,463,141,771,565 is 322300212510.
Find LCM of 510,463,141,771,565 with Prime Factorization
| 3 | 510, 463, 141, 771, 565 |
| 5 | 170, 463, 47, 257, 565 |
| 34, 463, 47, 257, 113 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 34 x 463 x 47 x 257 x 113 = 322300212510
Therefore, the lowest common multiple of 510,463,141,771,565 is 322300212510.
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.
510 x 463 x 141 x 771 x 565 = 14503509562950
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.
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
463 : 1, 463
141 : 1, 3, 47, 141
771 : 1, 3, 257, 771
565 : 1, 5, 113, 565
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,463,141,771,565, is 1.
Now, the common factors can be found like this.
510:2x 3x 5x 17
463:463
141:3x 47
771:3x 257
565:5x 113
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5 = 45
Therefore, the value for common factors is 45.
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 = 14503509562950/(1x45)
LCM = 14503509562950/45
LCM = 322300212510
Thus, we can understand that the LCM of 510,463,141,771,565 is 322300212510.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 510, 463, 141, 771, 565
1. What is the LCM of 510, 463, 141, 771, 565?
Answer: LCM of 510, 463, 141, 771, 565 is 322300212510.
2. How to calculate the LCM of 510, 463, 141, 771, 565?
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 510, 463, 141, 771, 565.
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}.