LCM of 690, 759, 180, 214
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 690, 759, 180, 214 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 690, 759, 180, 214. So, keep reading to learn more.
Given numbers are 690,759,180,214
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 690,759,180,214 is 4872780.
Find LCM of 690,759,180,214 with Prime Factorization
| 2 | 690, 759, 180, 214 |
| 3 | 345, 759, 90, 107 |
| 5 | 115, 253, 30, 107 |
| 23 | 23, 253, 6, 107 |
| 1, 11, 6, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 23 x 1 x 11 x 6 x 107 = 4872780
Therefore, the lowest common multiple of 690,759,180,214 is 4872780.
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.
690 x 759 x 180 x 214 = 20173309200
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.
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
759 : 1, 3, 11, 23, 33, 69, 253, 759
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
214 : 1, 2, 107, 214
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,759,180,214, is 1.
Now, the common factors can be found like this.
690:2x 3x 5x 23
759:3x 11x 23
180:2x 2x 3x 3x 5
214:2x 107
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 5x 23 = 4140
Therefore, the value for common factors is 4140.
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 = 20173309200/(1x4140)
LCM = 20173309200/4140
LCM = 4872780
Thus, we can understand that the LCM of 690,759,180,214 is 4872780.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 690, 759, 180, 214
1. What is the LCM of 690, 759, 180, 214?
Answer: LCM of 690, 759, 180, 214 is 4872780.
2. How to calculate the LCM of 690, 759, 180, 214?
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 690, 759, 180, 214.
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}.