LCM of 731, 430, 246, 765
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 731, 430, 246, 765 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 731, 430, 246, 765. So, keep reading to learn more.
Given numbers are 731,430,246,765
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 731,430,246,765 is 2697390.
Find LCM of 731,430,246,765 with Prime Factorization
| 2 | 731, 430, 246, 765 |
| 3 | 731, 215, 123, 765 |
| 5 | 731, 215, 41, 255 |
| 17 | 731, 43, 41, 51 |
| 43 | 43, 43, 41, 3 |
| 1, 1, 41, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 43 x 1 x 1 x 41 x 3 = 2697390
Therefore, the lowest common multiple of 731,430,246,765 is 2697390.
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.
731 x 430 x 246 x 765 = 59153762700
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.
731 : 1, 17, 43, 731
430 : 1, 2, 5, 10, 43, 86, 215, 430
246 : 1, 2, 3, 6, 41, 82, 123, 246
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,430,246,765, is 1.
Now, the common factors can be found like this.
731:17x 43
430:2x 5x 43
246:2x 3x 41
765:3x 3x 5x 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 3x 5x 17x 43 = 21930
Therefore, the value for common factors is 21930.
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 = 59153762700/(1x21930)
LCM = 59153762700/21930
LCM = 2697390
Thus, we can understand that the LCM of 731,430,246,765 is 2697390.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 731, 430, 246, 765
1. What is the LCM of 731, 430, 246, 765?
Answer: LCM of 731, 430, 246, 765 is 2697390.
2. How to calculate the LCM of 731, 430, 246, 765?
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 731, 430, 246, 765.
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}.