LCM of 595, 843, 674, 510, 564
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 595, 843, 674, 510, 564 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 595, 843, 674, 510, 564. So, keep reading to learn more.
Given numbers are 595,843,674,510,564
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 595,843,674,510,564 is 31778419260.
Find LCM of 595,843,674,510,564 with Prime Factorization
| 2 | 595, 843, 674, 510, 564 |
| 3 | 595, 843, 337, 255, 282 |
| 5 | 595, 281, 337, 85, 94 |
| 17 | 119, 281, 337, 17, 94 |
| 7, 281, 337, 1, 94 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 7 x 281 x 337 x 1 x 94 = 31778419260
Therefore, the lowest common multiple of 595,843,674,510,564 is 31778419260.
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.
595 x 843 x 674 x 510 x 564 = 97241962935600
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.
595 : 1, 5, 7, 17, 35, 85, 119, 595
843 : 1, 3, 281, 843
674 : 1, 2, 337, 674
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 595,843,674,510,564, is 1.
Now, the common factors can be found like this.
595:5x 7x 17
843:3x 281
674:2x 337
510:2x 3x 5x 17
564:2x 2x 3x 47
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 5x 17 = 3060
Therefore, the value for common factors is 3060.
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 = 97241962935600/(1x3060)
LCM = 97241962935600/3060
LCM = 31778419260
Thus, we can understand that the LCM of 595,843,674,510,564 is 31778419260.
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FAQs on LCM of 595, 843, 674, 510, 564
1. What is the LCM of 595, 843, 674, 510, 564?
Answer: LCM of 595, 843, 674, 510, 564 is 31778419260.
2. How to calculate the LCM of 595, 843, 674, 510, 564?
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 595, 843, 674, 510, 564.
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}.