LCM of 824, 414, 648, 300
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 824, 414, 648, 300 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 824, 414, 648, 300. So, keep reading to learn more.
Given numbers are 824,414,648,300
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 824,414,648,300 is 38377800.
Find LCM of 824,414,648,300 with Prime Factorization
| 2 | 824, 414, 648, 300 |
| 2 | 412, 207, 324, 150 |
| 2 | 206, 207, 162, 75 |
| 3 | 103, 207, 81, 75 |
| 3 | 103, 69, 27, 25 |
| 103, 23, 9, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 103 x 23 x 9 x 25 = 38377800
Therefore, the lowest common multiple of 824,414,648,300 is 38377800.
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.
824 x 414 x 648 x 300 = 66316838400
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.
824 : 1, 2, 4, 8, 103, 206, 412, 824
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,414,648,300, is 2.
Now, the common factors can be found like this.
824:2x 2x 2x 103
414:2x 3x 3x 23
648:2x 2x 2x 3x 3x 3x 3
300:2x 2x 3x 5x 5
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 = 66316838400/(2x864)
LCM = 66316838400/1728
LCM = 38377800
Thus, we can understand that the LCM of 824,414,648,300 is 38377800.
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FAQs on LCM of 824, 414, 648, 300
1. What is the LCM of 824, 414, 648, 300?
Answer: LCM of 824, 414, 648, 300 is 38377800.
2. How to calculate the LCM of 824, 414, 648, 300?
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 824, 414, 648, 300.
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}.