LCM of 762, 450, 671, 759, 306
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 762, 450, 671, 759, 306 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 762, 450, 671, 759, 306. So, keep reading to learn more.
Given numbers are 762,450,671,759,306
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 762,450,671,759,306 is 14993931150.
Find LCM of 762,450,671,759,306 with Prime Factorization
| 2 | 762, 450, 671, 759, 306 |
| 3 | 381, 225, 671, 759, 153 |
| 3 | 127, 75, 671, 253, 51 |
| 11 | 127, 25, 671, 253, 17 |
| 127, 25, 61, 23, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 127 x 25 x 61 x 23 x 17 = 14993931150
Therefore, the lowest common multiple of 762,450,671,759,306 is 14993931150.
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.
762 x 450 x 671 x 759 x 306 = 53438370618600
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.
762 : 1, 2, 3, 6, 127, 254, 381, 762
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
671 : 1, 11, 61, 671
759 : 1, 3, 11, 23, 33, 69, 253, 759
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 762,450,671,759,306, is 1.
Now, the common factors can be found like this.
762:2x 3x 127
450:2x 3x 3x 5x 5
671:11x 61
759:3x 11x 23
306:2x 3x 3x 17
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 3x 11 = 3564
Therefore, the value for common factors is 3564.
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 = 53438370618600/(1x3564)
LCM = 53438370618600/3564
LCM = 14993931150
Thus, we can understand that the LCM of 762,450,671,759,306 is 14993931150.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 762, 450, 671, 759, 306
1. What is the LCM of 762, 450, 671, 759, 306?
Answer: LCM of 762, 450, 671, 759, 306 is 14993931150.
2. How to calculate the LCM of 762, 450, 671, 759, 306?
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 762, 450, 671, 759, 306.
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}.