LCM of 230, 563, 573, 387, 590
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 230, 563, 573, 387, 590 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 230, 563, 573, 387, 590. So, keep reading to learn more.
Given numbers are 230,563,573,387,590
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 230,563,573,387,590 is 564719227470.
Find LCM of 230,563,573,387,590 with Prime Factorization
| 2 | 230, 563, 573, 387, 590 |
| 3 | 115, 563, 573, 387, 295 |
| 5 | 115, 563, 191, 129, 295 |
| 23, 563, 191, 129, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 23 x 563 x 191 x 129 x 59 = 564719227470
Therefore, the lowest common multiple of 230,563,573,387,590 is 564719227470.
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.
230 x 563 x 573 x 387 x 590 = 16941576824100
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.
230 : 1, 2, 5, 10, 23, 46, 115, 230
563 : 1, 563
573 : 1, 3, 191, 573
387 : 1, 3, 9, 43, 129, 387
590 : 1, 2, 5, 10, 59, 118, 295, 590
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,563,573,387,590, is 1.
Now, the common factors can be found like this.
230:2x 5x 23
563:563
573:3x 191
387:3x 3x 43
590:2x 5x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5 = 30
Therefore, the value for common factors is 30.
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 = 16941576824100/(1x30)
LCM = 16941576824100/30
LCM = 564719227470
Thus, we can understand that the LCM of 230,563,573,387,590 is 564719227470.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 230, 563, 573, 387, 590
1. What is the LCM of 230, 563, 573, 387, 590?
Answer: LCM of 230, 563, 573, 387, 590 is 564719227470.
2. How to calculate the LCM of 230, 563, 573, 387, 590?
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 230, 563, 573, 387, 590.
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}.