LCM of 182, 804, 765, 804, 717
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 182, 804, 765, 804, 717 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 182, 804, 765, 804, 717. So, keep reading to learn more.
Given numbers are 182,804,765,804,717
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 182,804,765,804,717 is 4458979980.
Find LCM of 182,804,765,804,717 with Prime Factorization
| 2 | 182, 804, 765, 804, 717 |
| 2 | 91, 402, 765, 402, 717 |
| 3 | 91, 201, 765, 201, 717 |
| 67 | 91, 67, 255, 67, 239 |
| 91, 1, 255, 1, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 67 x 91 x 1 x 255 x 1 x 239 = 4458979980
Therefore, the lowest common multiple of 182,804,765,804,717 is 4458979980.
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.
182 x 804 x 765 x 804 x 717 = 64530358270560
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.
182 : 1, 2, 7, 13, 14, 26, 91, 182
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
717 : 1, 3, 239, 717
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 182,804,765,804,717, is 1.
Now, the common factors can be found like this.
182:2x 7x 13
804:2x 2x 3x 67
765:3x 3x 5x 17
804:2x 2x 3x 67
717:3x 239
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 3x 3x 3x 67 = 14472
Therefore, the value for common factors is 14472.
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 = 64530358270560/(1x14472)
LCM = 64530358270560/14472
LCM = 4458979980
Thus, we can understand that the LCM of 182,804,765,804,717 is 4458979980.
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FAQs on LCM of 182, 804, 765, 804, 717
1. What is the LCM of 182, 804, 765, 804, 717?
Answer: LCM of 182, 804, 765, 804, 717 is 4458979980.
2. How to calculate the LCM of 182, 804, 765, 804, 717?
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 182, 804, 765, 804, 717.
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}.