LCM of 782, 466, 536, 792, 869
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 782, 466, 536, 792, 869 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, 466, 536, 792, 869. So, keep reading to learn more.
Given numbers are 782,466,536,792,869
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,466,536,792,869 is 381908877768.
Find LCM of 782,466,536,792,869 with Prime Factorization
| 2 | 782, 466, 536, 792, 869 |
| 2 | 391, 233, 268, 396, 869 |
| 2 | 391, 233, 134, 198, 869 |
| 11 | 391, 233, 67, 99, 869 |
| 391, 233, 67, 9, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 391 x 233 x 67 x 9 x 79 = 381908877768
Therefore, the lowest common multiple of 782,466,536,792,869 is 381908877768.
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 466 x 536 x 792 x 869 = 134431924974336
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
466 : 1, 2, 233, 466
536 : 1, 2, 4, 8, 67, 134, 268, 536
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
869 : 1, 11, 79, 869
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,466,536,792,869, is 1.
Now, the common factors can be found like this.
782:2x 17x 23
466:2x 233
536:2x 2x 2x 67
792:2x 2x 2x 3x 3x 11
869:11x 79
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 2x 2x 11 = 352
Therefore, the value for common factors is 352.
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 = 134431924974336/(1x352)
LCM = 134431924974336/352
LCM = 381908877768
Thus, we can understand that the LCM of 782,466,536,792,869 is 381908877768.
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FAQs on LCM of 782, 466, 536, 792, 869
1. What is the LCM of 782, 466, 536, 792, 869?
Answer: LCM of 782, 466, 536, 792, 869 is 381908877768.
2. How to calculate the LCM of 782, 466, 536, 792, 869?
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, 466, 536, 792, 869.
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}.