LCM of 312, 768, 566, 607
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 312, 768, 566, 607 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 312, 768, 566, 607. So, keep reading to learn more.
Given numbers are 312,768,566,607
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 312,768,566,607 is 1715061504.
Find LCM of 312,768,566,607 with Prime Factorization
| 2 | 312, 768, 566, 607 |
| 2 | 156, 384, 283, 607 |
| 2 | 78, 192, 283, 607 |
| 3 | 39, 96, 283, 607 |
| 13, 32, 283, 607 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 32 x 283 x 607 = 1715061504
Therefore, the lowest common multiple of 312,768,566,607 is 1715061504.
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.
312 x 768 x 566 x 607 = 82322952192
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.
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
566 : 1, 2, 283, 566
607 : 1, 607
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,768,566,607, is 1.
Now, the common factors can be found like this.
312:2x 2x 2x 3x 13
768:2x 2x 2x 2x 2x 2x 2x 2x 3
566:2x 283
607:607
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 3 = 48
Therefore, the value for common factors is 48.
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 = 82322952192/(1x48)
LCM = 82322952192/48
LCM = 1715061504
Thus, we can understand that the LCM of 312,768,566,607 is 1715061504.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 312, 768, 566, 607
1. What is the LCM of 312, 768, 566, 607?
Answer: LCM of 312, 768, 566, 607 is 1715061504.
2. How to calculate the LCM of 312, 768, 566, 607?
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 312, 768, 566, 607.
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}.