LCM of 782, 852, 260, 579, 663
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 782, 852, 260, 579, 663 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, 852, 260, 579, 663. So, keep reading to learn more.
Given numbers are 782,852,260,579,663
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,852,260,579,663 is 4179140940.
Find LCM of 782,852,260,579,663 with Prime Factorization
| 2 | 782, 852, 260, 579, 663 |
| 2 | 391, 426, 130, 579, 663 |
| 3 | 391, 213, 65, 579, 663 |
| 13 | 391, 71, 65, 193, 221 |
| 17 | 391, 71, 5, 193, 17 |
| 23, 71, 5, 193, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 17 x 23 x 71 x 5 x 193 x 1 = 4179140940
Therefore, the lowest common multiple of 782,852,260,579,663 is 4179140940.
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 852 x 260 x 579 x 663 = 66498490637280
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
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
579 : 1, 3, 193, 579
663 : 1, 3, 13, 17, 39, 51, 221, 663
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,852,260,579,663, is 1.
Now, the common factors can be found like this.
782:2x 17x 23
852:2x 2x 3x 71
260:2x 2x 5x 13
579:3x 193
663:3x 13x 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 2x 3x 3x 13x 17 = 15912
Therefore, the value for common factors is 15912.
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 = 66498490637280/(1x15912)
LCM = 66498490637280/15912
LCM = 4179140940
Thus, we can understand that the LCM of 782,852,260,579,663 is 4179140940.
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FAQs on LCM of 782, 852, 260, 579, 663
1. What is the LCM of 782, 852, 260, 579, 663?
Answer: LCM of 782, 852, 260, 579, 663 is 4179140940.
2. How to calculate the LCM of 782, 852, 260, 579, 663?
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, 852, 260, 579, 663.
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}.