LCM of 786, 345, 134, 726
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 786, 345, 134, 726 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 786, 345, 134, 726. So, keep reading to learn more.
Given numbers are 786,345,134,726
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 786,345,134,726 is 732791730.
Find LCM of 786,345,134,726 with Prime Factorization
| 2 | 786, 345, 134, 726 |
| 3 | 393, 345, 67, 363 |
| 131, 115, 67, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 131 x 115 x 67 x 121 = 732791730
Therefore, the lowest common multiple of 786,345,134,726 is 732791730.
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.
786 x 345 x 134 x 726 = 26380502280
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.
786 : 1, 2, 3, 6, 131, 262, 393, 786
345 : 1, 3, 5, 15, 23, 69, 115, 345
134 : 1, 2, 67, 134
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 786,345,134,726, is 1.
Now, the common factors can be found like this.
786:2x 3x 131
345:3x 5x 23
134:2x 67
726:2x 3x 11x 11
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 3 = 36
Therefore, the value for common factors is 36.
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 = 26380502280/(1x36)
LCM = 26380502280/36
LCM = 732791730
Thus, we can understand that the LCM of 786,345,134,726 is 732791730.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 786, 345, 134, 726
1. What is the LCM of 786, 345, 134, 726?
Answer: LCM of 786, 345, 134, 726 is 732791730.
2. How to calculate the LCM of 786, 345, 134, 726?
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 786, 345, 134, 726.
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}.