LCM of 666, 754, 170, 712
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 666, 754, 170, 712 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 666, 754, 170, 712. So, keep reading to learn more.
Given numbers are 666,754,170,712
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 666,754,170,712 is 7597741320.
Find LCM of 666,754,170,712 with Prime Factorization
| 2 | 666, 754, 170, 712 |
| 333, 377, 85, 356 |
Multiply the prime numbers at the bottom and the left side.
2 x 333 x 377 x 85 x 356 = 7597741320
Therefore, the lowest common multiple of 666,754,170,712 is 7597741320.
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.
666 x 754 x 170 x 712 = 60781930560
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.
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
754 : 1, 2, 13, 26, 29, 58, 377, 754
170 : 1, 2, 5, 10, 17, 34, 85, 170
712 : 1, 2, 4, 8, 89, 178, 356, 712
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 666,754,170,712, is 2.
Now, the common factors can be found like this.
666:2x 3x 3x 37
754:2x 13x 29
170:2x 5x 17
712:2x 2x 2x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 60781930560/(2x4)
LCM = 60781930560/8
LCM = 7597741320
Thus, we can understand that the LCM of 666,754,170,712 is 7597741320.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 666, 754, 170, 712
1. What is the LCM of 666, 754, 170, 712?
Answer: LCM of 666, 754, 170, 712 is 7597741320.
2. How to calculate the LCM of 666, 754, 170, 712?
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 666, 754, 170, 712.
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}.