Find the LCM of 706, 266, 283, 585, 988 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 706, 266, 283, 585, 988. So, keep reading to learn more.
Given numbers are 706,266,283,585,988
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 706,266,283,585,988 is 31090566780.
Find LCM of 706,266,283,585,988 with Prime Factorization
2 | 706, 266, 283, 585, 988 |
13 | 353, 133, 283, 585, 494 |
19 | 353, 133, 283, 45, 38 |
353, 7, 283, 45, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 19 x 353 x 7 x 283 x 45 x 2 = 31090566780
Therefore, the lowest common multiple of 706,266,283,585,988 is 31090566780.
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.
706 x 266 x 283 x 585 x 988 = 30717479978640
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.
706 : 1, 2, 353, 706
266 : 1, 2, 7, 14, 19, 38, 133, 266
283 : 1, 283
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,266,283,585,988, is 1.
Now, the common factors can be found like this.
706:2x 353
266:2x 7x 19
283:283
585:3x 3x 5x 13
988:2x 2x 13x 19
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 13x 19 = 988
Therefore, the value for common factors is 988.
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 = 30717479978640/(1x988)
LCM = 30717479978640/988
LCM = 31090566780
Thus, we can understand that the LCM of 706,266,283,585,988 is 31090566780.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 706, 266, 283, 585, 988?
Answer: LCM of 706, 266, 283, 585, 988 is 31090566780.
2. How to calculate the LCM of 706, 266, 283, 585, 988?
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 706, 266, 283, 585, 988.
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}.