LCM of 712, 616, 451, 330
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 712, 616, 451, 330 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 712, 616, 451, 330. So, keep reading to learn more.
Given numbers are 712,616,451,330
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 712,616,451,330 is 33716760.
Find LCM of 712,616,451,330 with Prime Factorization
| 2 | 712, 616, 451, 330 |
| 2 | 356, 308, 451, 165 |
| 2 | 178, 154, 451, 165 |
| 11 | 89, 77, 451, 165 |
| 89, 7, 41, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 89 x 7 x 41 x 15 = 33716760
Therefore, the lowest common multiple of 712,616,451,330 is 33716760.
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.
712 x 616 x 451 x 330 = 65275647360
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.
712 : 1, 2, 4, 8, 89, 178, 356, 712
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
451 : 1, 11, 41, 451
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 712,616,451,330, is 1.
Now, the common factors can be found like this.
712:2x 2x 2x 89
616:2x 2x 2x 7x 11
451:11x 41
330:2x 3x 5x 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 2x 2x 11x 11 = 1936
Therefore, the value for common factors is 1936.
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 = 65275647360/(1x1936)
LCM = 65275647360/1936
LCM = 33716760
Thus, we can understand that the LCM of 712,616,451,330 is 33716760.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 712, 616, 451, 330
1. What is the LCM of 712, 616, 451, 330?
Answer: LCM of 712, 616, 451, 330 is 33716760.
2. How to calculate the LCM of 712, 616, 451, 330?
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 712, 616, 451, 330.
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}.