LCM of 785, 920, 204, 459
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 785, 920, 204, 459 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 785, 920, 204, 459. So, keep reading to learn more.
Given numbers are 785,920,204,459
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 785,920,204,459 is 66297960.
Find LCM of 785,920,204,459 with Prime Factorization
| 2 | 785, 920, 204, 459 |
| 2 | 785, 460, 102, 459 |
| 3 | 785, 230, 51, 459 |
| 5 | 785, 230, 17, 153 |
| 17 | 157, 46, 17, 153 |
| 157, 46, 1, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 17 x 157 x 46 x 1 x 9 = 66297960
Therefore, the lowest common multiple of 785,920,204,459 is 66297960.
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.
785 x 920 x 204 x 459 = 67623919200
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.
785 : 1, 5, 157, 785
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
459 : 1, 3, 9, 17, 27, 51, 153, 459
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,920,204,459, is 1.
Now, the common factors can be found like this.
785:5x 157
920:2x 2x 2x 5x 23
204:2x 2x 3x 17
459:3x 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 5x 17 = 1020
Therefore, the value for common factors is 1020.
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 = 67623919200/(1x1020)
LCM = 67623919200/1020
LCM = 66297960
Thus, we can understand that the LCM of 785,920,204,459 is 66297960.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 785, 920, 204, 459
1. What is the LCM of 785, 920, 204, 459?
Answer: LCM of 785, 920, 204, 459 is 66297960.
2. How to calculate the LCM of 785, 920, 204, 459?
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 785, 920, 204, 459.
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}.