LCM of 474, 572, 644, 923, 814
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 474, 572, 644, 923, 814 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 474, 572, 644, 923, 814. So, keep reading to learn more.
Given numbers are 474,572,644,923,814
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 474,572,644,923,814 is 57336387108.
Find LCM of 474,572,644,923,814 with Prime Factorization
| 2 | 474, 572, 644, 923, 814 |
| 2 | 237, 286, 322, 923, 407 |
| 11 | 237, 143, 161, 923, 407 |
| 13 | 237, 13, 161, 923, 37 |
| 237, 1, 161, 71, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 13 x 237 x 1 x 161 x 71 x 37 = 57336387108
Therefore, the lowest common multiple of 474,572,644,923,814 is 57336387108.
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.
474 x 572 x 644 x 923 x 814 = 131185653703104
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.
474 : 1, 2, 3, 6, 79, 158, 237, 474
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
923 : 1, 13, 71, 923
814 : 1, 2, 11, 22, 37, 74, 407, 814
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 474,572,644,923,814, is 1.
Now, the common factors can be found like this.
474:2x 3x 79
572:2x 2x 11x 13
644:2x 2x 7x 23
923:13x 71
814:2x 11x 37
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 11x 13 = 2288
Therefore, the value for common factors is 2288.
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 = 131185653703104/(1x2288)
LCM = 131185653703104/2288
LCM = 57336387108
Thus, we can understand that the LCM of 474,572,644,923,814 is 57336387108.
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FAQs on LCM of 474, 572, 644, 923, 814
1. What is the LCM of 474, 572, 644, 923, 814?
Answer: LCM of 474, 572, 644, 923, 814 is 57336387108.
2. How to calculate the LCM of 474, 572, 644, 923, 814?
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 474, 572, 644, 923, 814.
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}.