LCM of 668, 424, 543, 450, 828
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 668, 424, 543, 450, 828 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, 424, 543, 450, 828. So, keep reading to learn more.
Given numbers are 668,424,543,450,828
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 668,424,543,450,828 is 66324083400.
Find LCM of 668,424,543,450,828 with Prime Factorization
| 2 | 668, 424, 543, 450, 828 |
| 2 | 334, 212, 543, 225, 414 |
| 3 | 167, 106, 543, 225, 207 |
| 3 | 167, 106, 181, 75, 69 |
| 167, 106, 181, 25, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 167 x 106 x 181 x 25 x 23 = 66324083400
Therefore, the lowest common multiple of 668,424,543,450,828 is 66324083400.
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 424 x 543 x 450 x 828 = 57304008057600
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
424 : 1, 2, 4, 8, 53, 106, 212, 424
543 : 1, 3, 181, 543
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 668,424,543,450,828, is 1.
Now, the common factors can be found like this.
668:2x 2x 167
424:2x 2x 2x 53
543:3x 181
450:2x 3x 3x 5x 5
828:2x 2x 3x 3x 23
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 3x 3x 3 = 864
Therefore, the value for common factors is 864.
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 = 57304008057600/(1x864)
LCM = 57304008057600/864
LCM = 66324083400
Thus, we can understand that the LCM of 668,424,543,450,828 is 66324083400.
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FAQs on LCM of 668, 424, 543, 450, 828
1. What is the LCM of 668, 424, 543, 450, 828?
Answer: LCM of 668, 424, 543, 450, 828 is 66324083400.
2. How to calculate the LCM of 668, 424, 543, 450, 828?
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, 424, 543, 450, 828.
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}.