LCM of 269, 738, 906, 456, 844
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 269, 738, 906, 456, 844 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 269, 738, 906, 456, 844. So, keep reading to learn more.
Given numbers are 269,738,906,456,844
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 269,738,906,456,844 is 480708317592.
Find LCM of 269,738,906,456,844 with Prime Factorization
| 2 | 269, 738, 906, 456, 844 |
| 2 | 269, 369, 453, 228, 422 |
| 3 | 269, 369, 453, 114, 211 |
| 269, 123, 151, 38, 211 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 269 x 123 x 151 x 38 x 211 = 480708317592
Therefore, the lowest common multiple of 269,738,906,456,844 is 480708317592.
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.
269 x 738 x 906 x 456 x 844 = 69221997733248
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.
269 : 1, 269
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
906 : 1, 2, 3, 6, 151, 302, 453, 906
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
844 : 1, 2, 4, 211, 422, 844
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,738,906,456,844, is 1.
Now, the common factors can be found like this.
269:269
738:2x 3x 3x 41
906:2x 3x 151
456:2x 2x 2x 3x 19
844:2x 2x 211
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 3 = 144
Therefore, the value for common factors is 144.
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 = 69221997733248/(1x144)
LCM = 69221997733248/144
LCM = 480708317592
Thus, we can understand that the LCM of 269,738,906,456,844 is 480708317592.
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FAQs on LCM of 269, 738, 906, 456, 844
1. What is the LCM of 269, 738, 906, 456, 844?
Answer: LCM of 269, 738, 906, 456, 844 is 480708317592.
2. How to calculate the LCM of 269, 738, 906, 456, 844?
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 269, 738, 906, 456, 844.
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}.