LCM of 668, 300, 396, 463, 668
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 668, 300, 396, 463, 668 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 668, 300, 396, 463, 668. So, keep reading to learn more.
Given numbers are 668,300,396,463,668
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 668,300,396,463,668 is 765477900.
Find LCM of 668,300,396,463,668 with Prime Factorization
| 2 | 668, 300, 396, 463, 668 |
| 2 | 334, 150, 198, 463, 334 |
| 3 | 167, 75, 99, 463, 167 |
| 167 | 167, 25, 33, 463, 167 |
| 1, 25, 33, 463, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 167 x 1 x 25 x 33 x 463 x 1 = 765477900
Therefore, the lowest common multiple of 668,300,396,463,668 is 765477900.
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.
668 x 300 x 396 x 463 x 668 = 24544283385600
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.
668 : 1, 2, 4, 167, 334, 668
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
463 : 1, 463
668 : 1, 2, 4, 167, 334, 668
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 668,300,396,463,668, is 1.
Now, the common factors can be found like this.
668:2x 2x 167
300:2x 2x 3x 5x 5
396:2x 2x 3x 3x 11
463:463
668:2x 2x 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 2x 2x 2x 2x 2x 3x 167 = 32064
Therefore, the value for common factors is 32064.
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 = 24544283385600/(1x32064)
LCM = 24544283385600/32064
LCM = 765477900
Thus, we can understand that the LCM of 668,300,396,463,668 is 765477900.
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FAQs on LCM of 668, 300, 396, 463, 668
1. What is the LCM of 668, 300, 396, 463, 668?
Answer: LCM of 668, 300, 396, 463, 668 is 765477900.
2. How to calculate the LCM of 668, 300, 396, 463, 668?
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 668, 300, 396, 463, 668.
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}.