LCM of 782, 825, 782, 467, 612
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 782, 825, 782, 467, 612 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, 825, 782, 467, 612. So, keep reading to learn more.
Given numbers are 782,825,782,467,612
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,825,782,467,612 is 1807710300.
Find LCM of 782,825,782,467,612 with Prime Factorization
| 2 | 782, 825, 782, 467, 612 |
| 3 | 391, 825, 391, 467, 306 |
| 17 | 391, 275, 391, 467, 102 |
| 23 | 23, 275, 23, 467, 6 |
| 1, 275, 1, 467, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 23 x 1 x 275 x 1 x 467 x 6 = 1807710300
Therefore, the lowest common multiple of 782,825,782,467,612 is 1807710300.
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 825 x 782 x 467 x 612 = 144190204369200
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
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
782 : 1, 2, 17, 23, 34, 46, 391, 782
467 : 1, 467
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,825,782,467,612, is 1.
Now, the common factors can be found like this.
782:2x 17x 23
825:3x 5x 5x 11
782:2x 17x 23
467:467
612:2x 2x 3x 3x 17
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 3x 17x 17x 23 = 79764
Therefore, the value for common factors is 79764.
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 = 144190204369200/(1x79764)
LCM = 144190204369200/79764
LCM = 1807710300
Thus, we can understand that the LCM of 782,825,782,467,612 is 1807710300.
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FAQs on LCM of 782, 825, 782, 467, 612
1. What is the LCM of 782, 825, 782, 467, 612?
Answer: LCM of 782, 825, 782, 467, 612 is 1807710300.
2. How to calculate the LCM of 782, 825, 782, 467, 612?
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, 825, 782, 467, 612.
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}.