LCM of 782, 660, 680, 735, 805
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 782, 660, 680, 735, 805 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 782, 660, 680, 735, 805. So, keep reading to learn more.
Given numbers are 782,660,680,735,805
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,660,680,735,805 is 25289880.
Find LCM of 782,660,680,735,805 with Prime Factorization
| 2 | 782, 660, 680, 735, 805 |
| 2 | 391, 330, 340, 735, 805 |
| 3 | 391, 165, 170, 735, 805 |
| 5 | 391, 55, 170, 245, 805 |
| 7 | 391, 11, 34, 49, 161 |
| 17 | 391, 11, 34, 7, 23 |
| 23 | 23, 11, 2, 7, 23 |
| 1, 11, 2, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 17 x 23 x 1 x 11 x 2 x 7 x 1 = 25289880
Therefore, the lowest common multiple of 782,660,680,735,805 is 25289880.
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.
782 x 660 x 680 x 735 x 805 = 207655204680000
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.
782 : 1, 2, 17, 23, 34, 46, 391, 782
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
805 : 1, 5, 7, 23, 35, 115, 161, 805
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,660,680,735,805, is 1.
Now, the common factors can be found like this.
782:2x 17x 23
660:2x 2x 3x 5x 11
680:2x 2x 2x 5x 17
735:3x 5x 7x 7
805:5x 7x 23
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 5x 5x 5x 7x 17x 23 = 8211000
Therefore, the value for common factors is 8211000.
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 = 207655204680000/(1x8211000)
LCM = 207655204680000/8211000
LCM = 25289880
Thus, we can understand that the LCM of 782,660,680,735,805 is 25289880.
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FAQs on LCM of 782, 660, 680, 735, 805
1. What is the LCM of 782, 660, 680, 735, 805?
Answer: LCM of 782, 660, 680, 735, 805 is 25289880.
2. How to calculate the LCM of 782, 660, 680, 735, 805?
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 782, 660, 680, 735, 805.
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}.