LCM of 692, 964, 990, 450
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 692, 964, 990, 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 692, 964, 990, 450. So, keep reading to learn more.
Given numbers are 692,964,990,450
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 692,964,990,450 is 412760700.
Find LCM of 692,964,990,450 with Prime Factorization
| 2 | 692, 964, 990, 450 |
| 2 | 346, 482, 495, 225 |
| 3 | 173, 241, 495, 225 |
| 3 | 173, 241, 165, 75 |
| 5 | 173, 241, 55, 25 |
| 173, 241, 11, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 173 x 241 x 11 x 5 = 412760700
Therefore, the lowest common multiple of 692,964,990,450 is 412760700.
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.
692 x 964 x 990 x 450 = 297187704000
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.
692 : 1, 2, 4, 173, 346, 692
964 : 1, 2, 4, 241, 482, 964
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 692,964,990,450, is 2.
Now, the common factors can be found like this.
692:2x 2x 173
964:2x 2x 241
990:2x 3x 3x 5x 11
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 2x 3x 3x 5 = 360
Therefore, the value for common factors is 360.
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 = 297187704000/(2x360)
LCM = 297187704000/720
LCM = 412760700
Thus, we can understand that the LCM of 692,964,990,450 is 412760700.
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FAQs on LCM of 692, 964, 990, 450
1. What is the LCM of 692, 964, 990, 450?
Answer: LCM of 692, 964, 990, 450 is 412760700.
2. How to calculate the LCM of 692, 964, 990, 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 692, 964, 990, 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}.