LCM of 6, 785, 810, 337
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 6, 785, 810, 337 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 6, 785, 810, 337. So, keep reading to learn more.
Given numbers are 6,785,810,337
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 6,785,810,337 is 42856290.
Find LCM of 6,785,810,337 with Prime Factorization
| 2 | 6, 785, 810, 337 |
| 3 | 3, 785, 405, 337 |
| 5 | 1, 785, 135, 337 |
| 1, 157, 27, 337 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 1 x 157 x 27 x 337 = 42856290
Therefore, the lowest common multiple of 6,785,810,337 is 42856290.
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.
6 x 785 x 810 x 337 = 1285688700
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.
6 : 1, 2, 3, 6
785 : 1, 5, 157, 785
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
337 : 1, 337
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6,785,810,337, is 1.
Now, the common factors can be found like this.
6:2x 3
785:5x 157
810:2x 3x 3x 3x 3x 5
337:337
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5 = 30
Therefore, the value for common factors is 30.
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 = 1285688700/(1x30)
LCM = 1285688700/30
LCM = 42856290
Thus, we can understand that the LCM of 6,785,810,337 is 42856290.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 6, 785, 810, 337
1. What is the LCM of 6, 785, 810, 337?
Answer: LCM of 6, 785, 810, 337 is 42856290.
2. How to calculate the LCM of 6, 785, 810, 337?
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 6, 785, 810, 337.
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}.