LCM of 787, 782, 663, 614, 633
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 787, 782, 663, 614, 633 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 787, 782, 663, 614, 633. So, keep reading to learn more.
Given numbers are 787,782,663,614,633
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 787,782,663,614,633 is 1554772760502.
Find LCM of 787,782,663,614,633 with Prime Factorization
| 2 | 787, 782, 663, 614, 633 |
| 3 | 787, 391, 663, 307, 633 |
| 17 | 787, 391, 221, 307, 211 |
| 787, 23, 13, 307, 211 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 787 x 23 x 13 x 307 x 211 = 1554772760502
Therefore, the lowest common multiple of 787,782,663,614,633 is 1554772760502.
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.
787 x 782 x 663 x 614 x 633 = 158586821571204
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.
787 : 1, 787
782 : 1, 2, 17, 23, 34, 46, 391, 782
663 : 1, 3, 13, 17, 39, 51, 221, 663
614 : 1, 2, 307, 614
633 : 1, 3, 211, 633
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 787,782,663,614,633, is 1.
Now, the common factors can be found like this.
787:787
782:2x 17x 23
663:3x 13x 17
614:2x 307
633:3x 211
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 17 = 102
Therefore, the value for common factors is 102.
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 = 158586821571204/(1x102)
LCM = 158586821571204/102
LCM = 1554772760502
Thus, we can understand that the LCM of 787,782,663,614,633 is 1554772760502.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 787, 782, 663, 614, 633
1. What is the LCM of 787, 782, 663, 614, 633?
Answer: LCM of 787, 782, 663, 614, 633 is 1554772760502.
2. How to calculate the LCM of 787, 782, 663, 614, 633?
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 787, 782, 663, 614, 633.
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}.