LCM of 510, 498, 852, 646, 522
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 510, 498, 852, 646, 522 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, 498, 852, 646, 522. So, keep reading to learn more.
Given numbers are 510,498,852,646,522
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 510,498,852,646,522 is 9935951580.
Find LCM of 510,498,852,646,522 with Prime Factorization
| 2 | 510, 498, 852, 646, 522 |
| 3 | 255, 249, 426, 323, 261 |
| 17 | 85, 83, 142, 323, 87 |
| 5, 83, 142, 19, 87 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 5 x 83 x 142 x 19 x 87 = 9935951580
Therefore, the lowest common multiple of 510,498,852,646,522 is 9935951580.
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 498 x 852 x 646 x 522 = 72969628403520
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
498 : 1, 2, 3, 6, 83, 166, 249, 498
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
646 : 1, 2, 17, 19, 34, 38, 323, 646
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 510,498,852,646,522, is 2.
Now, the common factors can be found like this.
510:2x 3x 5x 17
498:2x 3x 83
852:2x 2x 3x 71
646:2x 17x 19
522:2x 3x 3x 29
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 3x 3x 3x 17 = 3672
Therefore, the value for common factors is 3672.
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 = 72969628403520/(2x3672)
LCM = 72969628403520/7344
LCM = 9935951580
Thus, we can understand that the LCM of 510,498,852,646,522 is 9935951580.
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FAQs on LCM of 510, 498, 852, 646, 522
1. What is the LCM of 510, 498, 852, 646, 522?
Answer: LCM of 510, 498, 852, 646, 522 is 9935951580.
2. How to calculate the LCM of 510, 498, 852, 646, 522?
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, 498, 852, 646, 522.
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}.