LCM of 560, 567, 590, 826
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 560, 567, 590, 826 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 560, 567, 590, 826. So, keep reading to learn more.
Given numbers are 560,567,590,826
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 560,567,590,826 is 2676240.
Find LCM of 560,567,590,826 with Prime Factorization
| 2 | 560, 567, 590, 826 |
| 5 | 280, 567, 295, 413 |
| 7 | 56, 567, 59, 413 |
| 59 | 8, 81, 59, 59 |
| 8, 81, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 59 x 8 x 81 x 1 x 1 = 2676240
Therefore, the lowest common multiple of 560,567,590,826 is 2676240.
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.
560 x 567 x 590 x 826 = 154740196800
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.
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
590 : 1, 2, 5, 10, 59, 118, 295, 590
826 : 1, 2, 7, 14, 59, 118, 413, 826
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,567,590,826, is 1.
Now, the common factors can be found like this.
560:2x 2x 2x 2x 5x 7
567:3x 3x 3x 3x 7
590:2x 5x 59
826:2x 7x 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 2x 5x 7x 7x 59 = 57820
Therefore, the value for common factors is 57820.
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 = 154740196800/(1x57820)
LCM = 154740196800/57820
LCM = 2676240
Thus, we can understand that the LCM of 560,567,590,826 is 2676240.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 560, 567, 590, 826
1. What is the LCM of 560, 567, 590, 826?
Answer: LCM of 560, 567, 590, 826 is 2676240.
2. How to calculate the LCM of 560, 567, 590, 826?
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 560, 567, 590, 826.
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}.