LCM of 563, 252, 242, 413, 598
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 563, 252, 242, 413, 598 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 563, 252, 242, 413, 598. So, keep reading to learn more.
Given numbers are 563,252,242,413,598
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 563,252,242,413,598 is 302842976436.
Find LCM of 563,252,242,413,598 with Prime Factorization
| 2 | 563, 252, 242, 413, 598 |
| 7 | 563, 126, 121, 413, 299 |
| 563, 18, 121, 59, 299 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 563 x 18 x 121 x 59 x 299 = 302842976436
Therefore, the lowest common multiple of 563,252,242,413,598 is 302842976436.
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.
563 x 252 x 242 x 413 x 598 = 8479603340208
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.
563 : 1, 563
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
242 : 1, 2, 11, 22, 121, 242
413 : 1, 7, 59, 413
598 : 1, 2, 13, 23, 26, 46, 299, 598
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 563,252,242,413,598, is 1.
Now, the common factors can be found like this.
563:563
252:2x 2x 3x 3x 7
242:2x 11x 11
413:7x 59
598:2x 13x 23
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 7 = 28
Therefore, the value for common factors is 28.
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 = 8479603340208/(1x28)
LCM = 8479603340208/28
LCM = 302842976436
Thus, we can understand that the LCM of 563,252,242,413,598 is 302842976436.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 563, 252, 242, 413, 598
1. What is the LCM of 563, 252, 242, 413, 598?
Answer: LCM of 563, 252, 242, 413, 598 is 302842976436.
2. How to calculate the LCM of 563, 252, 242, 413, 598?
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 563, 252, 242, 413, 598.
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}.