LCM of 785, 204, 144, 384, 673
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 785, 204, 144, 384, 673 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, 204, 144, 384, 673. So, keep reading to learn more.
Given numbers are 785,204,144,384,673
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 785,204,144,384,673 is 10346325120.
Find LCM of 785,204,144,384,673 with Prime Factorization
| 2 | 785, 204, 144, 384, 673 |
| 2 | 785, 102, 72, 192, 673 |
| 2 | 785, 51, 36, 96, 673 |
| 2 | 785, 51, 18, 48, 673 |
| 3 | 785, 51, 9, 24, 673 |
| 785, 17, 3, 8, 673 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 785 x 17 x 3 x 8 x 673 = 10346325120
Therefore, the lowest common multiple of 785,204,144,384,673 is 10346325120.
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 204 x 144 x 384 x 673 = 5959483269120
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
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
673 : 1, 673
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,204,144,384,673, is 1.
Now, the common factors can be found like this.
785:5x 157
204:2x 2x 3x 17
144:2x 2x 2x 2x 3x 3
384:2x 2x 2x 2x 2x 2x 2x 3
673:673
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 2x 2x 2x 3x 3 = 576
Therefore, the value for common factors is 576.
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 = 5959483269120/(1x576)
LCM = 5959483269120/576
LCM = 10346325120
Thus, we can understand that the LCM of 785,204,144,384,673 is 10346325120.
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FAQs on LCM of 785, 204, 144, 384, 673
1. What is the LCM of 785, 204, 144, 384, 673?
Answer: LCM of 785, 204, 144, 384, 673 is 10346325120.
2. How to calculate the LCM of 785, 204, 144, 384, 673?
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, 204, 144, 384, 673.
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}.