Find the LCM of 145, 159, 236, 246, 984 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 145, 159, 236, 246, 984. So, keep reading to learn more.
Given numbers are 145,159,236,246,984
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 145,159,236,246,984 is 446160360.
Find LCM of 145,159,236,246,984 with Prime Factorization
2 | 145, 159, 236, 246, 984 |
2 | 145, 159, 118, 123, 492 |
3 | 145, 159, 59, 123, 246 |
41 | 145, 53, 59, 41, 82 |
145, 53, 59, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 41 x 145 x 53 x 59 x 1 x 2 = 446160360
Therefore, the lowest common multiple of 145,159,236,246,984 is 446160360.
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.
145 x 159 x 236 x 246 x 984 = 1317065382720
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.
145 : 1, 5, 29, 145
159 : 1, 3, 53, 159
236 : 1, 2, 4, 59, 118, 236
246 : 1, 2, 3, 6, 41, 82, 123, 246
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 145,159,236,246,984, is 1.
Now, the common factors can be found like this.
145:5x 29
159:3x 53
236:2x 2x 59
246:2x 3x 41
984:2x 2x 2x 3x 41
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 41 = 2952
Therefore, the value for common factors is 2952.
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 = 1317065382720/(1x2952)
LCM = 1317065382720/2952
LCM = 446160360
Thus, we can understand that the LCM of 145,159,236,246,984 is 446160360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 145, 159, 236, 246, 984?
Answer: LCM of 145, 159, 236, 246, 984 is 446160360.
2. How to calculate the LCM of 145, 159, 236, 246, 984?
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 145, 159, 236, 246, 984.
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}.