LCM of 717, 759, 966, 834
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 717, 759, 966, 834 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 717, 759, 966, 834. So, keep reading to learn more.
Given numbers are 717,759,966,834
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 717,759,966,834 is 353006346.
Find LCM of 717,759,966,834 with Prime Factorization
| 2 | 717, 759, 966, 834 |
| 3 | 717, 759, 483, 417 |
| 23 | 239, 253, 161, 139 |
| 239, 11, 7, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 239 x 11 x 7 x 139 = 353006346
Therefore, the lowest common multiple of 717,759,966,834 is 353006346.
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.
717 x 759 x 966 x 834 = 438433881732
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.
717 : 1, 3, 239, 717
759 : 1, 3, 11, 23, 33, 69, 253, 759
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
834 : 1, 2, 3, 6, 139, 278, 417, 834
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,759,966,834, is 3.
Now, the common factors can be found like this.
717:3x 239
759:3x 11x 23
966:2x 3x 7x 23
834:2x 3x 139
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 3x 23 = 414
Therefore, the value for common factors is 414.
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 = 438433881732/(3x414)
LCM = 438433881732/1242
LCM = 353006346
Thus, we can understand that the LCM of 717,759,966,834 is 353006346.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 717, 759, 966, 834
1. What is the LCM of 717, 759, 966, 834?
Answer: LCM of 717, 759, 966, 834 is 353006346.
2. How to calculate the LCM of 717, 759, 966, 834?
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 717, 759, 966, 834.
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}.