LCM of 763, 252, 782, 441, 866
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 763, 252, 782, 441, 866 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 763, 252, 782, 441, 866. So, keep reading to learn more.
Given numbers are 763,252,782,441,866
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 763,252,782,441,866 is 32552903628.
Find LCM of 763,252,782,441,866 with Prime Factorization
| 2 | 763, 252, 782, 441, 866 |
| 3 | 763, 126, 391, 441, 433 |
| 3 | 763, 42, 391, 147, 433 |
| 7 | 763, 14, 391, 49, 433 |
| 109, 2, 391, 7, 433 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 109 x 2 x 391 x 7 x 433 = 32552903628
Therefore, the lowest common multiple of 763,252,782,441,866 is 32552903628.
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.
763 x 252 x 782 x 441 x 866 = 57423321999792
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.
763 : 1, 7, 109, 763
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
782 : 1, 2, 17, 23, 34, 46, 391, 782
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
866 : 1, 2, 433, 866
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 763,252,782,441,866, is 1.
Now, the common factors can be found like this.
763:7x 109
252:2x 2x 3x 3x 7
782:2x 17x 23
441:3x 3x 7x 7
866:2x 433
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 3x 7x 7 = 1764
Therefore, the value for common factors is 1764.
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 = 57423321999792/(1x1764)
LCM = 57423321999792/1764
LCM = 32552903628
Thus, we can understand that the LCM of 763,252,782,441,866 is 32552903628.
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FAQs on LCM of 763, 252, 782, 441, 866
1. What is the LCM of 763, 252, 782, 441, 866?
Answer: LCM of 763, 252, 782, 441, 866 is 32552903628.
2. How to calculate the LCM of 763, 252, 782, 441, 866?
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 763, 252, 782, 441, 866.
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}.