LCM of 782, 645, 289, 100, 705
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 782, 645, 289, 100, 705 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, 645, 289, 100, 705. So, keep reading to learn more.
Given numbers are 782,645,289,100,705
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,645,289,100,705 is 4030076100.
Find LCM of 782,645,289,100,705 with Prime Factorization
| 2 | 782, 645, 289, 100, 705 |
| 3 | 391, 645, 289, 50, 705 |
| 5 | 391, 215, 289, 50, 235 |
| 17 | 391, 43, 289, 10, 47 |
| 23, 43, 17, 10, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 23 x 43 x 17 x 10 x 47 = 4030076100
Therefore, the lowest common multiple of 782,645,289,100,705 is 4030076100.
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 645 x 289 x 100 x 705 = 10276694055000
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
645 : 1, 3, 5, 15, 43, 129, 215, 645
289 : 1, 17, 289
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
705 : 1, 3, 5, 15, 47, 141, 235, 705
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,645,289,100,705, is 1.
Now, the common factors can be found like this.
782:2x 17x 23
645:3x 5x 43
289:17x 17
100:2x 2x 5x 5
705:3x 5x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 5x 17 = 2550
Therefore, the value for common factors is 2550.
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 = 10276694055000/(1x2550)
LCM = 10276694055000/2550
LCM = 4030076100
Thus, we can understand that the LCM of 782,645,289,100,705 is 4030076100.
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FAQs on LCM of 782, 645, 289, 100, 705
1. What is the LCM of 782, 645, 289, 100, 705?
Answer: LCM of 782, 645, 289, 100, 705 is 4030076100.
2. How to calculate the LCM of 782, 645, 289, 100, 705?
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, 645, 289, 100, 705.
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}.