Find the LCM of 180, 966, 318, 989, 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 180, 966, 318, 989, 510. So, keep reading to learn more.
Given numbers are 180,966,318,989,510
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 180,966,318,989,510 is 1122772140.
Find LCM of 180,966,318,989,510 with Prime Factorization
2 | 180, 966, 318, 989, 510 |
3 | 90, 483, 159, 989, 255 |
5 | 30, 161, 53, 989, 85 |
23 | 6, 161, 53, 989, 17 |
6, 7, 53, 43, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 23 x 6 x 7 x 53 x 43 x 17 = 1122772140
Therefore, the lowest common multiple of 180,966,318,989,510 is 1122772140.
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.
180 x 966 x 318 x 989 x 510 = 27889659957600
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.
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
318 : 1, 2, 3, 6, 53, 106, 159, 318
989 : 1, 23, 43, 989
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 180,966,318,989,510, is 1.
Now, the common factors can be found like this.
180:2x 2x 3x 3x 5
966:2x 3x 7x 23
318:2x 3x 53
989:23x 43
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 3x 3x 3x 5x 23 = 24840
Therefore, the value for common factors is 24840.
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 = 27889659957600/(1x24840)
LCM = 27889659957600/24840
LCM = 1122772140
Thus, we can understand that the LCM of 180,966,318,989,510 is 1122772140.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 180, 966, 318, 989, 510?
Answer: LCM of 180, 966, 318, 989, 510 is 1122772140.
2. How to calculate the LCM of 180, 966, 318, 989, 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 180, 966, 318, 989, 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}.