LCM of 267, 312, 731, 702, 162
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 267, 312, 731, 702, 162 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 267, 312, 731, 702, 162. So, keep reading to learn more.
Given numbers are 267,312,731,702,162
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 267,312,731,702,162 is 548057016.
Find LCM of 267,312,731,702,162 with Prime Factorization
| 2 | 267, 312, 731, 702, 162 |
| 3 | 267, 156, 731, 351, 81 |
| 3 | 89, 52, 731, 117, 27 |
| 3 | 89, 52, 731, 39, 9 |
| 13 | 89, 52, 731, 13, 3 |
| 89, 4, 731, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 13 x 89 x 4 x 731 x 1 x 3 = 548057016
Therefore, the lowest common multiple of 267,312,731,702,162 is 548057016.
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.
267 x 312 x 731 x 702 x 162 = 6925248454176
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.
267 : 1, 3, 89, 267
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
731 : 1, 17, 43, 731
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 267,312,731,702,162, is 1.
Now, the common factors can be found like this.
267:3x 89
312:2x 2x 2x 3x 13
731:17x 43
702:2x 3x 3x 3x 13
162:2x 3x 3x 3x 3
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 3x 3x 3x 3x 3x 13 = 12636
Therefore, the value for common factors is 12636.
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 = 6925248454176/(1x12636)
LCM = 6925248454176/12636
LCM = 548057016
Thus, we can understand that the LCM of 267,312,731,702,162 is 548057016.
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FAQs on LCM of 267, 312, 731, 702, 162
1. What is the LCM of 267, 312, 731, 702, 162?
Answer: LCM of 267, 312, 731, 702, 162 is 548057016.
2. How to calculate the LCM of 267, 312, 731, 702, 162?
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 267, 312, 731, 702, 162.
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}.