LCM of 330, 479, 948, 891, 891
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 330, 479, 948, 891, 891 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 330, 479, 948, 891, 891. So, keep reading to learn more.
Given numbers are 330,479,948,891,891
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 330,479,948,891,891 is 674326620.
Find LCM of 330,479,948,891,891 with Prime Factorization
| 2 | 330, 479, 948, 891, 891 |
| 3 | 165, 479, 474, 891, 891 |
| 3 | 55, 479, 158, 297, 297 |
| 3 | 55, 479, 158, 99, 99 |
| 3 | 55, 479, 158, 33, 33 |
| 11 | 55, 479, 158, 11, 11 |
| 5, 479, 158, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 3 x 11 x 5 x 479 x 158 x 1 x 1 = 674326620
Therefore, the lowest common multiple of 330,479,948,891,891 is 674326620.
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.
330 x 479 x 948 x 891 x 891 = 118963353647160
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.
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
479 : 1, 479
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,479,948,891,891, is 1.
Now, the common factors can be found like this.
330:2x 3x 5x 11
479:479
948:2x 2x 3x 79
891:3x 3x 3x 3x 11
891:3x 3x 3x 3x 11
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 3x 3x 3x 11x 11 = 176418
Therefore, the value for common factors is 176418.
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 = 118963353647160/(1x176418)
LCM = 118963353647160/176418
LCM = 674326620
Thus, we can understand that the LCM of 330,479,948,891,891 is 674326620.
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FAQs on LCM of 330, 479, 948, 891, 891
1. What is the LCM of 330, 479, 948, 891, 891?
Answer: LCM of 330, 479, 948, 891, 891 is 674326620.
2. How to calculate the LCM of 330, 479, 948, 891, 891?
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 330, 479, 948, 891, 891.
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}.