LCM of 690, 627, 606, 675, 450
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 690, 627, 606, 675, 450 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, 627, 606, 675, 450. So, keep reading to learn more.
Given numbers are 690,627,606,675,450
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 690,627,606,675,450 is 655434450.
Find LCM of 690,627,606,675,450 with Prime Factorization
| 2 | 690, 627, 606, 675, 450 |
| 3 | 345, 627, 303, 675, 225 |
| 3 | 115, 209, 101, 75, 225 |
| 5 | 115, 209, 101, 25, 75 |
| 5 | 23, 209, 101, 5, 15 |
| 23, 209, 101, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 5 x 23 x 209 x 101 x 1 x 3 = 655434450
Therefore, the lowest common multiple of 690,627,606,675,450 is 655434450.
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 627 x 606 x 675 x 450 = 79635285675000
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
627 : 1, 3, 11, 19, 33, 57, 209, 627
606 : 1, 2, 3, 6, 101, 202, 303, 606
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,627,606,675,450, is 3.
Now, the common factors can be found like this.
690:2x 3x 5x 23
627:3x 11x 19
606:2x 3x 101
675:3x 3x 3x 5x 5
450:2x 3x 3x 5x 5
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 5x 5x 5 = 40500
Therefore, the value for common factors is 40500.
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 = 79635285675000/(3x40500)
LCM = 79635285675000/121500
LCM = 655434450
Thus, we can understand that the LCM of 690,627,606,675,450 is 655434450.
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FAQs on LCM of 690, 627, 606, 675, 450
1. What is the LCM of 690, 627, 606, 675, 450?
Answer: LCM of 690, 627, 606, 675, 450 is 655434450.
2. How to calculate the LCM of 690, 627, 606, 675, 450?
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, 627, 606, 675, 450.
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}.