Find the LCM of 166, 502, 527, 868, 510 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 166, 502, 527, 868, 510. So, keep reading to learn more.
Given numbers are 166,502,527,868,510
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 166,502,527,868,510 is 4611176220.
Find LCM of 166,502,527,868,510 with Prime Factorization
2 | 166, 502, 527, 868, 510 |
17 | 83, 251, 527, 434, 255 |
31 | 83, 251, 31, 434, 15 |
83, 251, 1, 14, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 31 x 83 x 251 x 1 x 14 x 15 = 4611176220
Therefore, the lowest common multiple of 166,502,527,868,510 is 4611176220.
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.
166 x 502 x 527 x 868 x 510 = 19440718943520
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.
166 : 1, 2, 83, 166
502 : 1, 2, 251, 502
527 : 1, 17, 31, 527
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 166,502,527,868,510, is 1.
Now, the common factors can be found like this.
166:2x 83
502:2x 251
527:17x 31
868:2x 2x 7x 31
510:2x 3x 5x 17
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 17x 31 = 4216
Therefore, the value for common factors is 4216.
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 = 19440718943520/(1x4216)
LCM = 19440718943520/4216
LCM = 4611176220
Thus, we can understand that the LCM of 166,502,527,868,510 is 4611176220.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 166, 502, 527, 868, 510?
Answer: LCM of 166, 502, 527, 868, 510 is 4611176220.
2. How to calculate the LCM of 166, 502, 527, 868, 510?
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 166, 502, 527, 868, 510.
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}.