LCM of 166, 112, 960, 299, 763
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 166, 112, 960, 299, 763 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 166, 112, 960, 299, 763. So, keep reading to learn more.
Given numbers are 166,112,960,299,763
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 166,112,960,299,763 is 18177956160.
Find LCM of 166,112,960,299,763 with Prime Factorization
| 2 | 166, 112, 960, 299, 763 |
| 2 | 83, 56, 480, 299, 763 |
| 2 | 83, 28, 240, 299, 763 |
| 2 | 83, 14, 120, 299, 763 |
| 7 | 83, 7, 60, 299, 763 |
| 83, 1, 60, 299, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 7 x 83 x 1 x 60 x 299 x 109 = 18177956160
Therefore, the lowest common multiple of 166,112,960,299,763 is 18177956160.
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.
166 x 112 x 960 x 299 x 763 = 4071862179840
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.
166 : 1, 2, 83, 166
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
299 : 1, 13, 23, 299
763 : 1, 7, 109, 763
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 166,112,960,299,763, is 1.
Now, the common factors can be found like this.
166:2x 83
112:2x 2x 2x 2x 7
960:2x 2x 2x 2x 2x 2x 3x 5
299:13x 23
763:7x 109
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 2x 7 = 224
Therefore, the value for common factors is 224.
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 = 4071862179840/(1x224)
LCM = 4071862179840/224
LCM = 18177956160
Thus, we can understand that the LCM of 166,112,960,299,763 is 18177956160.
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FAQs on LCM of 166, 112, 960, 299, 763
1. What is the LCM of 166, 112, 960, 299, 763?
Answer: LCM of 166, 112, 960, 299, 763 is 18177956160.
2. How to calculate the LCM of 166, 112, 960, 299, 763?
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 166, 112, 960, 299, 763.
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}.