LCM of 738, 107, 444, 814, 548
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 738, 107, 444, 814, 548 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 738, 107, 444, 814, 548. So, keep reading to learn more.
Given numbers are 738,107,444,814,548
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 738,107,444,814,548 is 8806130388.
Find LCM of 738,107,444,814,548 with Prime Factorization
| 2 | 738, 107, 444, 814, 548 |
| 2 | 369, 107, 222, 407, 274 |
| 3 | 369, 107, 111, 407, 137 |
| 37 | 123, 107, 37, 407, 137 |
| 123, 107, 1, 11, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 37 x 123 x 107 x 1 x 11 x 137 = 8806130388
Therefore, the lowest common multiple of 738,107,444,814,548 is 8806130388.
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.
738 x 107 x 444 x 814 x 548 = 15639687569088
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.
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
107 : 1, 107
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
814 : 1, 2, 11, 22, 37, 74, 407, 814
548 : 1, 2, 4, 137, 274, 548
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 738,107,444,814,548, is 1.
Now, the common factors can be found like this.
738:2x 3x 3x 41
107:107
444:2x 2x 3x 37
814:2x 11x 37
548:2x 2x 137
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 3x 37 = 1776
Therefore, the value for common factors is 1776.
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 = 15639687569088/(1x1776)
LCM = 15639687569088/1776
LCM = 8806130388
Thus, we can understand that the LCM of 738,107,444,814,548 is 8806130388.
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FAQs on LCM of 738, 107, 444, 814, 548
1. What is the LCM of 738, 107, 444, 814, 548?
Answer: LCM of 738, 107, 444, 814, 548 is 8806130388.
2. How to calculate the LCM of 738, 107, 444, 814, 548?
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 738, 107, 444, 814, 548.
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}.