LCM of 167, 488, 756, 790, 966
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 167, 488, 756, 790, 966 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 167, 488, 756, 790, 966. So, keep reading to learn more.
Given numbers are 167,488,756,790,966
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 167,488,756,790,966 is 139933929240.
Find LCM of 167,488,756,790,966 with Prime Factorization
| 2 | 167, 488, 756, 790, 966 |
| 2 | 167, 244, 378, 395, 483 |
| 3 | 167, 122, 189, 395, 483 |
| 7 | 167, 122, 63, 395, 161 |
| 167, 122, 9, 395, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 167 x 122 x 9 x 395 x 23 = 139933929240
Therefore, the lowest common multiple of 167,488,756,790,966 is 139933929240.
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.
167 x 488 x 756 x 790 x 966 = 47017800224640
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.
167 : 1, 167
488 : 1, 2, 4, 8, 61, 122, 244, 488
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
790 : 1, 2, 5, 10, 79, 158, 395, 790
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 167,488,756,790,966, is 1.
Now, the common factors can be found like this.
167:167
488:2x 2x 2x 61
756:2x 2x 3x 3x 3x 7
790:2x 5x 79
966:2x 3x 7x 23
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 7 = 336
Therefore, the value for common factors is 336.
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 = 47017800224640/(1x336)
LCM = 47017800224640/336
LCM = 139933929240
Thus, we can understand that the LCM of 167,488,756,790,966 is 139933929240.
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FAQs on LCM of 167, 488, 756, 790, 966
1. What is the LCM of 167, 488, 756, 790, 966?
Answer: LCM of 167, 488, 756, 790, 966 is 139933929240.
2. How to calculate the LCM of 167, 488, 756, 790, 966?
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 167, 488, 756, 790, 966.
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}.