LCM of 216, 690, 423, 230, 985
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 216, 690, 423, 230, 985 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 216, 690, 423, 230, 985. So, keep reading to learn more.
Given numbers are 216,690,423,230,985
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 216,690,423,230,985 is 229993560.
Find LCM of 216,690,423,230,985 with Prime Factorization
| 2 | 216, 690, 423, 230, 985 |
| 3 | 108, 345, 423, 115, 985 |
| 3 | 36, 115, 141, 115, 985 |
| 5 | 12, 115, 47, 115, 985 |
| 23 | 12, 23, 47, 23, 197 |
| 12, 1, 47, 1, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 23 x 12 x 1 x 47 x 1 x 197 = 229993560
Therefore, the lowest common multiple of 216,690,423,230,985 is 229993560.
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.
216 x 690 x 423 x 230 x 985 = 14282600076000
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.
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
423 : 1, 3, 9, 47, 141, 423
230 : 1, 2, 5, 10, 23, 46, 115, 230
985 : 1, 5, 197, 985
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 216,690,423,230,985, is 1.
Now, the common factors can be found like this.
216:2x 2x 2x 3x 3x 3
690:2x 3x 5x 23
423:3x 3x 47
230:2x 5x 23
985:5x 197
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 5x 5x 23 = 62100
Therefore, the value for common factors is 62100.
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 = 14282600076000/(1x62100)
LCM = 14282600076000/62100
LCM = 229993560
Thus, we can understand that the LCM of 216,690,423,230,985 is 229993560.
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FAQs on LCM of 216, 690, 423, 230, 985
1. What is the LCM of 216, 690, 423, 230, 985?
Answer: LCM of 216, 690, 423, 230, 985 is 229993560.
2. How to calculate the LCM of 216, 690, 423, 230, 985?
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 216, 690, 423, 230, 985.
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}.