LCM of 686, 637, 966, 294, 766
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 686, 637, 966, 294, 766 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 686, 637, 966, 294, 766. So, keep reading to learn more.
Given numbers are 686,637,966,294,766
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 686,637,966,294,766 is 235675986.
Find LCM of 686,637,966,294,766 with Prime Factorization
| 2 | 686, 637, 966, 294, 766 |
| 3 | 343, 637, 483, 147, 383 |
| 7 | 343, 637, 161, 49, 383 |
| 7 | 7, 91, 23, 49, 383 |
| 1, 13, 23, 7, 383 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 7 x 1 x 13 x 23 x 7 x 383 = 235675986
Therefore, the lowest common multiple of 686,637,966,294,766 is 235675986.
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.
686 x 637 x 966 x 294 x 766 = 95064151120848
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.
686 : 1, 2, 7, 14, 49, 98, 343, 686
637 : 1, 7, 13, 49, 91, 637
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
766 : 1, 2, 383, 766
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 686,637,966,294,766, is 1.
Now, the common factors can be found like this.
686:2x 7x 7x 7
637:7x 7x 13
966:2x 3x 7x 23
294:2x 3x 7x 7
766:2x 383
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 3x 7x 7x 7x 7x 7 = 403368
Therefore, the value for common factors is 403368.
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 = 95064151120848/(1x403368)
LCM = 95064151120848/403368
LCM = 235675986
Thus, we can understand that the LCM of 686,637,966,294,766 is 235675986.
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FAQs on LCM of 686, 637, 966, 294, 766
1. What is the LCM of 686, 637, 966, 294, 766?
Answer: LCM of 686, 637, 966, 294, 766 is 235675986.
2. How to calculate the LCM of 686, 637, 966, 294, 766?
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 686, 637, 966, 294, 766.
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}.