LCM of 457, 552, 299, 598, 474
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 457, 552, 299, 598, 474 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 457, 552, 299, 598, 474. So, keep reading to learn more.
Given numbers are 457,552,299,598,474
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 457,552,299,598,474 is 259075128.
Find LCM of 457,552,299,598,474 with Prime Factorization
| 2 | 457, 552, 299, 598, 474 |
| 3 | 457, 276, 299, 299, 237 |
| 13 | 457, 92, 299, 299, 79 |
| 23 | 457, 92, 23, 23, 79 |
| 457, 4, 1, 1, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 23 x 457 x 4 x 1 x 1 x 79 = 259075128
Therefore, the lowest common multiple of 457,552,299,598,474 is 259075128.
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.
457 x 552 x 299 x 598 x 474 = 21379915863072
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.
457 : 1, 457
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
299 : 1, 13, 23, 299
598 : 1, 2, 13, 23, 26, 46, 299, 598
474 : 1, 2, 3, 6, 79, 158, 237, 474
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 457,552,299,598,474, is 1.
Now, the common factors can be found like this.
457:457
552:2x 2x 2x 3x 23
299:13x 23
598:2x 13x 23
474:2x 3x 79
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 3x 13x 23x 23 = 82524
Therefore, the value for common factors is 82524.
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 = 21379915863072/(1x82524)
LCM = 21379915863072/82524
LCM = 259075128
Thus, we can understand that the LCM of 457,552,299,598,474 is 259075128.
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FAQs on LCM of 457, 552, 299, 598, 474
1. What is the LCM of 457, 552, 299, 598, 474?
Answer: LCM of 457, 552, 299, 598, 474 is 259075128.
2. How to calculate the LCM of 457, 552, 299, 598, 474?
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 457, 552, 299, 598, 474.
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}.