LCM of 834, 396, 718, 716, 466
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 834, 396, 718, 716, 466 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 834, 396, 718, 716, 466. So, keep reading to learn more.
Given numbers are 834,396,718,716,466
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 834,396,718,716,466 is 824163518772.
Find LCM of 834,396,718,716,466 with Prime Factorization
| 2 | 834, 396, 718, 716, 466 |
| 2 | 417, 198, 359, 358, 233 |
| 3 | 417, 99, 359, 179, 233 |
| 139, 33, 359, 179, 233 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 139 x 33 x 359 x 179 x 233 = 824163518772
Therefore, the lowest common multiple of 834,396,718,716,466 is 824163518772.
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.
834 x 396 x 718 x 716 x 466 = 79119697802112
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.
834 : 1, 2, 3, 6, 139, 278, 417, 834
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
718 : 1, 2, 359, 718
716 : 1, 2, 4, 179, 358, 716
466 : 1, 2, 233, 466
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,396,718,716,466, is 2.
Now, the common factors can be found like this.
834:2x 3x 139
396:2x 2x 3x 3x 11
718:2x 359
716:2x 2x 179
466:2x 233
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 3 = 48
Therefore, the value for common factors is 48.
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 = 79119697802112/(2x48)
LCM = 79119697802112/96
LCM = 824163518772
Thus, we can understand that the LCM of 834,396,718,716,466 is 824163518772.
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FAQs on LCM of 834, 396, 718, 716, 466
1. What is the LCM of 834, 396, 718, 716, 466?
Answer: LCM of 834, 396, 718, 716, 466 is 824163518772.
2. How to calculate the LCM of 834, 396, 718, 716, 466?
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 834, 396, 718, 716, 466.
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}.