LCM of 782, 831, 895, 289, 336
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 782, 831, 895, 289, 336 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, 831, 895, 289, 336. So, keep reading to learn more.
Given numbers are 782,831,895,289,336
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,831,895,289,336 is 553691377680.
Find LCM of 782,831,895,289,336 with Prime Factorization
| 2 | 782, 831, 895, 289, 336 |
| 3 | 391, 831, 895, 289, 168 |
| 17 | 391, 277, 895, 289, 56 |
| 23, 277, 895, 17, 56 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 23 x 277 x 895 x 17 x 56 = 553691377680
Therefore, the lowest common multiple of 782,831,895,289,336 is 553691377680.
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 831 x 895 x 289 x 336 = 56476520523360
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
831 : 1, 3, 277, 831
895 : 1, 5, 179, 895
289 : 1, 17, 289
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,831,895,289,336, is 1.
Now, the common factors can be found like this.
782:2x 17x 23
831:3x 277
895:5x 179
289:17x 17
336:2x 2x 2x 2x 3x 7
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 = 56476520523360/(1x102)
LCM = 56476520523360/102
LCM = 553691377680
Thus, we can understand that the LCM of 782,831,895,289,336 is 553691377680.
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FAQs on LCM of 782, 831, 895, 289, 336
1. What is the LCM of 782, 831, 895, 289, 336?
Answer: LCM of 782, 831, 895, 289, 336 is 553691377680.
2. How to calculate the LCM of 782, 831, 895, 289, 336?
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, 831, 895, 289, 336.
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}.