LCM of 493, 668, 891, 270, 167
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 493, 668, 891, 270, 167 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 493, 668, 891, 270, 167. So, keep reading to learn more.
Given numbers are 493,668,891,270,167
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 493,668,891,270,167 is 1467138420.
Find LCM of 493,668,891,270,167 with Prime Factorization
| 2 | 493, 668, 891, 270, 167 |
| 3 | 493, 334, 891, 135, 167 |
| 3 | 493, 334, 297, 45, 167 |
| 3 | 493, 334, 99, 15, 167 |
| 167 | 493, 334, 33, 5, 167 |
| 493, 2, 33, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 167 x 493 x 2 x 33 x 5 x 1 = 1467138420
Therefore, the lowest common multiple of 493,668,891,270,167 is 1467138420.
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.
493 x 668 x 891 x 270 x 167 = 13230654271560
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.
493 : 1, 17, 29, 493
668 : 1, 2, 4, 167, 334, 668
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
167 : 1, 167
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,668,891,270,167, is 1.
Now, the common factors can be found like this.
493:17x 29
668:2x 2x 167
891:3x 3x 3x 3x 11
270:2x 3x 3x 3x 5
167:167
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 3x 167 = 9018
Therefore, the value for common factors is 9018.
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 = 13230654271560/(1x9018)
LCM = 13230654271560/9018
LCM = 1467138420
Thus, we can understand that the LCM of 493,668,891,270,167 is 1467138420.
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FAQs on LCM of 493, 668, 891, 270, 167
1. What is the LCM of 493, 668, 891, 270, 167?
Answer: LCM of 493, 668, 891, 270, 167 is 1467138420.
2. How to calculate the LCM of 493, 668, 891, 270, 167?
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 493, 668, 891, 270, 167.
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}.