LCM of 665, 682, 989, 506, 412
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 665, 682, 989, 506, 412 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 665, 682, 989, 506, 412. So, keep reading to learn more.
Given numbers are 665,682,989,506,412
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 665,682,989,506,412 is 92399481020.
Find LCM of 665,682,989,506,412 with Prime Factorization
| 2 | 665, 682, 989, 506, 412 |
| 11 | 665, 341, 989, 253, 206 |
| 23 | 665, 31, 989, 23, 206 |
| 665, 31, 43, 1, 206 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 23 x 665 x 31 x 43 x 1 x 206 = 92399481020
Therefore, the lowest common multiple of 665,682,989,506,412 is 92399481020.
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.
665 x 682 x 989 x 506 x 412 = 93508274792240
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.
665 : 1, 5, 7, 19, 35, 95, 133, 665
682 : 1, 2, 11, 22, 31, 62, 341, 682
989 : 1, 23, 43, 989
506 : 1, 2, 11, 22, 23, 46, 253, 506
412 : 1, 2, 4, 103, 206, 412
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 665,682,989,506,412, is 1.
Now, the common factors can be found like this.
665:5x 7x 19
682:2x 11x 31
989:23x 43
506:2x 11x 23
412:2x 2x 103
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 11x 23 = 1012
Therefore, the value for common factors is 1012.
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 = 93508274792240/(1x1012)
LCM = 93508274792240/1012
LCM = 92399481020
Thus, we can understand that the LCM of 665,682,989,506,412 is 92399481020.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 665, 682, 989, 506, 412
1. What is the LCM of 665, 682, 989, 506, 412?
Answer: LCM of 665, 682, 989, 506, 412 is 92399481020.
2. How to calculate the LCM of 665, 682, 989, 506, 412?
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 665, 682, 989, 506, 412.
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}.