LCM of 786, 768, 524, 756
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 786, 768, 524, 756 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, 768, 524, 756. So, keep reading to learn more.
Given numbers are 786,768,524,756
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 786,768,524,756 is 6338304.
Find LCM of 786,768,524,756 with Prime Factorization
| 2 | 786, 768, 524, 756 |
| 2 | 393, 384, 262, 378 |
| 3 | 393, 192, 131, 189 |
| 131 | 131, 64, 131, 63 |
| 1, 64, 1, 63 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 131 x 1 x 64 x 1 x 63 = 6338304
Therefore, the lowest common multiple of 786,768,524,756 is 6338304.
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 768 x 524 x 756 = 239131533312
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
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
524 : 1, 2, 4, 131, 262, 524
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 786,768,524,756, is 2.
Now, the common factors can be found like this.
786:2x 3x 131
768:2x 2x 2x 2x 2x 2x 2x 2x 3
524:2x 2x 131
756:2x 2x 3x 3x 3x 7
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 3x 3x 131 = 18864
Therefore, the value for common factors is 18864.
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 = 239131533312/(2x18864)
LCM = 239131533312/37728
LCM = 6338304
Thus, we can understand that the LCM of 786,768,524,756 is 6338304.
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FAQs on LCM of 786, 768, 524, 756
1. What is the LCM of 786, 768, 524, 756?
Answer: LCM of 786, 768, 524, 756 is 6338304.
2. How to calculate the LCM of 786, 768, 524, 756?
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, 768, 524, 756.
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}.