LCM of 138, 216, 978, 153, 623
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 138, 216, 978, 153, 623 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 138, 216, 978, 153, 623. So, keep reading to learn more.
Given numbers are 138,216,978,153,623
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 138,216,978,153,623 is 8576422344.
Find LCM of 138,216,978,153,623 with Prime Factorization
| 2 | 138, 216, 978, 153, 623 |
| 3 | 69, 108, 489, 153, 623 |
| 3 | 23, 36, 163, 51, 623 |
| 23, 12, 163, 17, 623 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 23 x 12 x 163 x 17 x 623 = 8576422344
Therefore, the lowest common multiple of 138,216,978,153,623 is 8576422344.
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.
138 x 216 x 978 x 153 x 623 = 2778760839456
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.
138 : 1, 2, 3, 6, 23, 46, 69, 138
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
978 : 1, 2, 3, 6, 163, 326, 489, 978
153 : 1, 3, 9, 17, 51, 153
623 : 1, 7, 89, 623
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,216,978,153,623, is 1.
Now, the common factors can be found like this.
138:2x 3x 23
216:2x 2x 2x 3x 3x 3
978:2x 3x 163
153:3x 3x 17
623:7x 89
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 3x 3x 3x 3 = 324
Therefore, the value for common factors is 324.
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 = 2778760839456/(1x324)
LCM = 2778760839456/324
LCM = 8576422344
Thus, we can understand that the LCM of 138,216,978,153,623 is 8576422344.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 138, 216, 978, 153, 623
1. What is the LCM of 138, 216, 978, 153, 623?
Answer: LCM of 138, 216, 978, 153, 623 is 8576422344.
2. How to calculate the LCM of 138, 216, 978, 153, 623?
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 138, 216, 978, 153, 623.
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}.