LCM of 563, 546, 222, 190, 513
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 563, 546, 222, 190, 513 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, 546, 222, 190, 513. So, keep reading to learn more.
Given numbers are 563,546,222,190,513
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 563,546,222,190,513 is 9724535730.
Find LCM of 563,546,222,190,513 with Prime Factorization
| 2 | 563, 546, 222, 190, 513 |
| 3 | 563, 273, 111, 95, 513 |
| 19 | 563, 91, 37, 95, 171 |
| 563, 91, 37, 5, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 563 x 91 x 37 x 5 x 9 = 9724535730
Therefore, the lowest common multiple of 563,546,222,190,513 is 9724535730.
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 546 x 222 x 190 x 513 = 6651582439320
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
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
222 : 1, 2, 3, 6, 37, 74, 111, 222
190 : 1, 2, 5, 10, 19, 38, 95, 190
513 : 1, 3, 9, 19, 27, 57, 171, 513
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 563,546,222,190,513, is 1.
Now, the common factors can be found like this.
563:563
546:2x 3x 7x 13
222:2x 3x 37
190:2x 5x 19
513:3x 3x 3x 19
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 3x 19 = 684
Therefore, the value for common factors is 684.
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 = 6651582439320/(1x684)
LCM = 6651582439320/684
LCM = 9724535730
Thus, we can understand that the LCM of 563,546,222,190,513 is 9724535730.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 563, 546, 222, 190, 513
1. What is the LCM of 563, 546, 222, 190, 513?
Answer: LCM of 563, 546, 222, 190, 513 is 9724535730.
2. How to calculate the LCM of 563, 546, 222, 190, 513?
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, 546, 222, 190, 513.
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}.