LCM of 747, 166, 513, 189
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 747, 166, 513, 189 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 747, 166, 513, 189. So, keep reading to learn more.
Given numbers are 747,166,513,189
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 747,166,513,189 is 596106.
Find LCM of 747,166,513,189 with Prime Factorization
| 3 | 747, 166, 513, 189 |
| 3 | 249, 166, 171, 63 |
| 3 | 83, 166, 57, 21 |
| 83 | 83, 166, 19, 7 |
| 1, 2, 19, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 83 x 1 x 2 x 19 x 7 = 596106
Therefore, the lowest common multiple of 747,166,513,189 is 596106.
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.
747 x 166 x 513 x 189 = 12022861914
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.
747 : 1, 3, 9, 83, 249, 747
166 : 1, 2, 83, 166
513 : 1, 3, 9, 19, 27, 57, 171, 513
189 : 1, 3, 7, 9, 21, 27, 63, 189
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 747,166,513,189, is 1.
Now, the common factors can be found like this.
747:3x 3x 83
166:2x 83
513:3x 3x 3x 19
189:3x 3x 3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 3x 83 = 20169
Therefore, the value for common factors is 20169.
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 = 12022861914/(1x20169)
LCM = 12022861914/20169
LCM = 596106
Thus, we can understand that the LCM of 747,166,513,189 is 596106.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 747, 166, 513, 189
1. What is the LCM of 747, 166, 513, 189?
Answer: LCM of 747, 166, 513, 189 is 596106.
2. How to calculate the LCM of 747, 166, 513, 189?
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 747, 166, 513, 189.
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}.