LCM of 932, 782, 246, 888, 493
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 932, 782, 246, 888, 493 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 932, 782, 246, 888, 493. So, keep reading to learn more.
Given numbers are 932,782,246,888,493
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 932,782,246,888,493 is 96189462696.
Find LCM of 932,782,246,888,493 with Prime Factorization
| 2 | 932, 782, 246, 888, 493 |
| 2 | 466, 391, 123, 444, 493 |
| 3 | 233, 391, 123, 222, 493 |
| 17 | 233, 391, 41, 74, 493 |
| 233, 23, 41, 74, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 233 x 23 x 41 x 74 x 29 = 96189462696
Therefore, the lowest common multiple of 932,782,246,888,493 is 96189462696.
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.
932 x 782 x 246 x 888 x 493 = 78490601559936
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.
932 : 1, 2, 4, 233, 466, 932
782 : 1, 2, 17, 23, 34, 46, 391, 782
246 : 1, 2, 3, 6, 41, 82, 123, 246
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
493 : 1, 17, 29, 493
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 932,782,246,888,493, is 1.
Now, the common factors can be found like this.
932:2x 2x 233
782:2x 17x 23
246:2x 3x 41
888:2x 2x 2x 3x 37
493:17x 29
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 3x 17 = 816
Therefore, the value for common factors is 816.
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 = 78490601559936/(1x816)
LCM = 78490601559936/816
LCM = 96189462696
Thus, we can understand that the LCM of 932,782,246,888,493 is 96189462696.
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FAQs on LCM of 932, 782, 246, 888, 493
1. What is the LCM of 932, 782, 246, 888, 493?
Answer: LCM of 932, 782, 246, 888, 493 is 96189462696.
2. How to calculate the LCM of 932, 782, 246, 888, 493?
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 932, 782, 246, 888, 493.
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}.