LCM of 583, 855, 766, 782, 297
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 583, 855, 766, 782, 297 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 583, 855, 766, 782, 297. So, keep reading to learn more.
Given numbers are 583,855,766,782,297
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 583,855,766,782,297 is 447879774870.
Find LCM of 583,855,766,782,297 with Prime Factorization
| 2 | 583, 855, 766, 782, 297 |
| 3 | 583, 855, 383, 391, 297 |
| 3 | 583, 285, 383, 391, 99 |
| 11 | 583, 95, 383, 391, 33 |
| 53, 95, 383, 391, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 53 x 95 x 383 x 391 x 3 = 447879774870
Therefore, the lowest common multiple of 583,855,766,782,297 is 447879774870.
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.
583 x 855 x 766 x 782 x 297 = 88680195424260
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.
583 : 1, 11, 53, 583
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
766 : 1, 2, 383, 766
782 : 1, 2, 17, 23, 34, 46, 391, 782
297 : 1, 3, 9, 11, 27, 33, 99, 297
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 583,855,766,782,297, is 1.
Now, the common factors can be found like this.
583:11x 53
855:3x 3x 5x 19
766:2x 383
782:2x 17x 23
297:3x 3x 3x 11
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 3x 11 = 198
Therefore, the value for common factors is 198.
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 = 88680195424260/(1x198)
LCM = 88680195424260/198
LCM = 447879774870
Thus, we can understand that the LCM of 583,855,766,782,297 is 447879774870.
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FAQs on LCM of 583, 855, 766, 782, 297
1. What is the LCM of 583, 855, 766, 782, 297?
Answer: LCM of 583, 855, 766, 782, 297 is 447879774870.
2. How to calculate the LCM of 583, 855, 766, 782, 297?
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 583, 855, 766, 782, 297.
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}.